What is the area of the figure composed of a parallelogram, a square and a rectangle ?

What Is The Area Of The Figure Composed Of A Parallelogram, A Square And A Rectangle ?

Answers

Answer 1

Answer : The area of the figure composed of a parallelogram, a square and a rectangle is 126 in².

Step-by-step explanation :

Area of composed figure = Area of parallelogram + Area of square + Area of rectangle

First we have to calculate the area of parallelogram.

Area of parallelogram = Base × Height

Given:

Base = 10 in

Height = 3.5 in

Area of parallelogram = 10 in × 3.5 in

Area of parallelogram = 35 in²

Now we have to calculate the area of square.

Area of square = (Side)²

Given:

Side = 4 in

Area of square = (4 in)²

Area of square = 16 in²

Now we have to calculate the area of rectangle.

Area of rectangle = Length × Breadth

Given:

Length = 12.5 in

Breadth = 6 in

Area of rectangle = 12.5 in × 6 in

Area of rectangle = 75 in²

Now we have to calculate the composed figure.

Area of composed figure = Area of parallelogram + Area of square + Area of rectangle

Area of composed figure = 35 in² + 16 in² + 75 in²

Area of composed figure = 126 in²

Therefore, the area of the figure composed of a parallelogram, a square and a rectangle is 126 in².

Answer 2

The area of the given figure is 126in²

Composite figures

The given figure is a composite figure composed of a parallelogram, a square and a rectangle.

Get the area of the square

Area = L²

Area of the square = 4² = 16in²

Area of the rectangle = 6 * 12.5

Area of the rectangle = 75in²

For the parallelogram:

Area of the parallelogram = Base * Height

Area of the parallelogram = 10 * 3.5

Area of the parallelogram  = 35 in²

Area of the figure = 75in² + 35in² + 16in²

Area of the figure = 126in²

Hence the area of the figure is 126in²

Learn more on area of composite figures here: https://brainly.com/question/10254615


Related Questions

4. Tom made a square measuring 8 feet by 8 feet, and had 18 friends stand inside it as if they are watching a band
at a small club. Find the ratio of this number to the rectangle's area. Choose the appropriate label for this ratio.

Answers

Answer:

9 people per 32 square ft

(or 9:32)

Step-by-step explanation:

First find the area:

8*8=64 sqr ft

Next create a ratio

18 people to 64'sqr

Now we try reducing

18/2 = 9

64/2 = 32

So the final ratio is 9 people per 32 square ft

9:32

Hope this helps! :)

12=15(z-1/5) does anybody know how to solve this

Answers

Answer:

-15

Step-by-step explanation:

I need the following solutions to the following equations.
3(4x-3) -19=8x -4
-6y+14=32-4y
-28+5-3x=2-2x

Answers

Answer:

x = 6

y = -9

x = -25

Step-by-step explanation:

1st Equation

Step 1: Write out equation

3(4x - 3) - 19 = 8x - 4

Step 2: Solve

12x - 9 - 19 = 8x - 4

12x - 28 = 8x - 4

4x - 28 = -4

4x = 24

x = 6

2nd Equation

Step 1: Write out equation

-6y + 14 = 32 - 4y

Step 2: Solve

-2y + 14 = 32

-2y = 18

y = -9

3rd Equation

Step 1: Write out equation

-28 + 5 - 3x = 2 - 2x

Step 2: Solve

-23 - 3x = 2 - 2x

-23 = 2 + x

-25 = x

x = -25

What is the value of the expression below when y=6y=6? y^2 -5y-4 y 2 −5y−4

Answers

Answer:

2

Step-by-step explanation:

Given expression:

y^2 - 5y - 4

y = 6

Substitute y = 6 into the expression

y^2 - 5y - 4

6^2 - 5(6) - 4

(6*6) - (5*6) - 4

36 - 30 - 4

36 - 34

2

The value of the expression y^2 - 5y - 4 is 2 when y = 6

What is the measure of x?

Answers

Answer:

           x = 78  

Step-by-step explanation:

[tex]m\angle BHD=180^o-x^o[/tex]

[tex]m\angle DBH+m\angle BHD+m\angle HDB=180^o\\\\47^o+180^o-x^o+31^o=180^o\\\\78^o-x^o=0\\\\x^o=78^o[/tex]

Identity the slope
of the line below.
y = -2x +3
Your answer

Answers

Answer:

-2

Step-by-step explanation:

3 would be your y intercept

-2 is your slope

Answer:

-2

Step-by-step explanation:

[tex]Slope =m\\\\y = -2x +3\\y =\:\:mx+b\\\\m = -2[/tex]

what is the expression of “the sum of n and the sum of 8 and 6?”

Answers

Answer:

n+8+6

Sum means = and and means + so n+8+6

2/3c=18 what does c equal to

Answers

Answer: 27

Step-by-step explanation:

Answer:

c = 27

Step-by-step explanation:

Solve for c:

(2 c)/3 = 18

Hint: | Multiply both sides by a constant to simplify the equation.

Multiply both sides of (2 c)/3 = 18 by 3/2:

(3×2 c)/(2×3) = 3/2×18

Hint: | Express 3/2×2/3 as a single fraction.

3/2×2/3 = (3×2)/(2×3):

(3×2)/(2×3) c = 3/2×18

Hint: | Express 3/2×18 as a single fraction.

3/2×18 = (3×18)/2:

(3×2 c)/(2×3) = (3×18)/2

Hint: | Cancel common terms in the numerator and denominator of (3×2 c)/(2×3).

(3×2 c)/(2×3) = (2×3)/(2×3)×c = c:

c = (3×18)/2

Hint: | In (3×18)/2, divide 18 in the numerator by 2 in the denominator.

18/2 = (2×9)/2 = 9:

c = 3×9

Hint: | Multiply 3 and 9 together.

3×9 = 27:

Answer: c = 27

Becky is tossing a six-sided number cube labeled 1, 2, 3, 4, 5, and 6. What is the probability of tossing 6 two times in a row? A. 1 36 B. 1 6 C. 1 3 D. 1 2

Answers

Answer:

A. 1/36

Step-by-step explanation:

The probability of Becky tossing 6, 2 times in a row is given by the following ways:

1. If you toss the die the first time you get an odd of 1/6

2. If you toss the die the second time you get another odd of 1/6

3. You multiply by odds 1/6 with 1/6

= 1/6 x 1/6

= 1/36

Therefore option a answers the question correctly.

Divide. Enter your answer as a fraction in simplest form.
2/5 divided by 14/15
The solution is

Answers

Answer:

[tex]\frac{1}{7}[/tex]

Step-by-step explanation:

[tex]\frac{2}{5} / \frac{14}{5}\\\frac{2}{5} * \frac{5}{14} \\\frac{1}{7}[/tex]

5=z/4−3 This is algebra 1

Answers

Answer:

z = 32

Step-by-step explanation:

Add 3 to both sides.

5 + 3 = z/4 -3 + 3

8 = z/4

Multiply 4 on both sides. 8 times 4 is 32.

32 = z

3/2x-2/3x=2 please help!!!

Answers

Answer:

NO SOLUTION

Step-by-step explanation:

3/2x-2/3x=2

find the common denominater which is 6 and whatever you do to the bottom you have to do to the top, in turn you'll get

6/6x-6/6x=2

In this case since their both the same you subtract x from x and when you do that you get,

NO SOLUTION = 2

Answer:

x= 12/5 =2.400

Step-by-step explanation:

Sorry if i'm wrong but i hope i'm not hope u get a good grade : )

The diagram shows the amount of fabric that Christine needs to make 1 tablecloth, including the fabric that will hang over the sides. The fabric costs $1.50 per square foot. Christine plans to make 1 tablecloth for each of the 4 seasons of the year. What is the total cost of the fabric that Christine needs for the tablecloths?

Answers

what diagram?? I would multiply 1.50 by 4 then multiply 6.00 by the total surface area to get the total cost.

A square image of an object on a video game has an initial side length of 25 pixels. To make the object appear closer, the side length of the square is increased by 10 pixels per second. This length change is represented by the function s(t) = 25 + 10t, where t is time in seconds. If the area of the square is A(s) = sa, find the formula for the area as a function of time, and then determine A(s(3)). A(t) equals +2+ t + 625 The area of the square image after 3 seconds is square pixels.​

Answers

Answer: A(t) = 100t^2 + 500t + 625

3,025 square pixels

Step-by-step explanation:

A function assigns the values. The area of the square image after 3 seconds is 3,025 sq. pixels.​

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

A.) The area of the video game will be,

A(s) = [s(t)]²

A(s) = (25+10t)²

A(s) = 625 + 100t² + 500t

A(s) = 100t² + 500t +625

B.) The value of A(s(3)) will be,

A(s(t)) = 100(25+10t)² + 500(25+10t) + 625

A(s(t)) = 10,000t² + 50,000t + 62,500 + 12,500 + 5,000t + 625

A(s(t)) = 10,000t² + 55,000t + 75,625

A(s(3)) = 10,000(3)² + 55,000(3) + 75,625

A(s(3)) = 270,000 + 165,000 + 75,625

A(s(3)) = 510,625

The area of the square image after 3 seconds is,

A(s) = 100t² + 500t +625

A(3) = 100(3)² + 500(3) +625

A(3) = 900 + 1500 +625

A(3) = 3,025

Hence, The area of the square image after 3 seconds is 3,025 sq. pixels.​

Learn more about Function:

https://brainly.com/question/5245372

#SPJ2

Teresa invested 3000$ in a fund for 5 years and was paid simple interest. The total interest that she received on the investment was 1350$. As a percentage, what was the annual interest rate of her investment?

Answers

Answer:

9%

Step-by-step explanation:

To find the answer, you have to use the formula to calculate the interest rate:

r=(1/t)(A/P-1), where

r=rate of interest

A=accrued amount=3000+1350=4350

P=principal amount=3000

t=time periods=5

Now, you can replace the values:

r=(1/5)*(4350/3000-1)

r=0.2*(1.45-1)

r=0.2*(0.45)

r=0.09

According to this, the annual interest rate of her investment is 9%.

Liam is going to a carnival that has games and rides. Each game costs $5 and each ride costs $3.50. How much would Liam have to pay if he wanted to play 3 games and go on 8 rides? How much would Liam have to pay if he wanted to play g g games and go on r r rides

Answers

Answer:

$43

Step-by-step explanation:

You have to find how much he is paying for his games and how much he is paying for his rides, then add them together.

5(3) = $15 (games)

8(3.5) = $28 (rides)

28+15 = 43


Kimberly went to a new animated monster movie yesterday afternoon. When she went into
the movie theater, the outside temperature was -8°F. By the time she left the theater, the
temperature had decreased by 6°F.

What was the temperature when Kimberly left the theater?

Answers

Answer:  -14 degrees Fahrenheit

Explanation:

Draw a vertical number line. At the center is 0. Anything above this marker represents positive temperatures. Anything below 0 is negative. So we'll have -8 below 0. Move 6 spaces down to go from -8 to -14. You can think of it as moving 6 floors down a building to go from basement level 8 to basement level 14.

Check all solutions to the equation. If there are no solutions, check "None."
√x=4
O A. 2.
B. -2
C. O
D. 16
E. -16
F. None

Answers

sqrt(x)=4
(sqrt(x))^2=4^2
x=16
answer is D. 16
The answer of this equation is A

help pls. explain what that means. I
forgot so much I apologise.​

Answers

Answer:

Your answer would Be A.

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

6 people equally share bill rs 98.10 how ​

Answers

Answer:

16.35Rs would be paid by everyone.

Step-by-step explanation:

98.10/6

=16.35Rs would be paid by everyone.

Hope it will help you :)

6.
Which list shows the numbers below in order from least to greatest?
5.78, -5.9, 58%, -2
F. -5.9, -2.5.78, 58%
G. -2.-5.9, 58%, 5.78
H. -5.9, -2, 58%, 5.78
J. 58%, -23.5.78, -5.9

Answers

F, hope this helps !
The answer is F (least to greatest)

What fractions are equal to 2/3

Answers

Answer:

Step-by-step explanation: yes

Answer: 4/6, 6/9, 8/12, 10/15 are all fractions equal to 2/3.

Step-by-step explanation: If you multiply both numerator and denominator in the fraction by any number, the new multiplied fraction will still be equal to the original fraction because fractions are proportionate.

For example: you can multiply 2/3 by 3.

2 x 3 = 6

3 x 3 = 9

6/9 is equal to 2/3 because the proportions are the same.

Another example: you can multiply 2/3 by 4.

2 x 4 = 8

3 x 4 = 12

8/12 is equal to 2/3 because, like before, the proportions are the same.

What is the degree for this polynomial 4ry2 + 3x
5

Answers

Answer:

I hope your question is 4x²+3x+5, then the degree of this polynomial is 2

Which expression converts 100 inches per minute to feet per minute?
100 Inches
I minute
60 minutes
1 hour
100 inches
1 minute
1 hour
60 minutes
100 inches
1 minute
1 foot
12 inches
100 inches
1 minute
12 inches
1 foot

Answers

100 inches Over 1 minute times 1 foot over 12 inches

Jungkooks birthday is coming up! How old will he be?

Answers

23 years old!!!!.!?!??!?

Answer:

23

Step-by-step explanation:

Since Jungkook's birthday is on September 1, 1997, that makes him 22 for now. When September 1st, 2020 occurs, he will be 23.

The height of a triangle is 4 inches. Greater than twice it's base. The area of the triangle is no more than 168 in.². Which any quality can be used to find the possible lengths, x, of the base of the triangle

Answers

Step-by-step explanation:

this problem seeks to test our knowledge on word problems and algebra

Solution

let the base be x, and

the height h = 2x+4

We know that area of a triangle is given as

[tex]A= \frac{1}{2} b*h[/tex]

substituting our given values we have

[tex]168= \frac{1}{2} x*(2x+4)\\\\168= \frac{2x^2+4x}{2} \\\\168= x^2+2x\\\\[/tex]

re-arranging we have

[tex]x^2+2x-168=0\\\\[/tex]

we can now find two factors that will add up to give 2 and multiply to give -168

they are 14 and -12

[tex]x^2-14x+12x-168=0\\\\x(x-14)+12(x- 14)=0\\\\x+12=0\\\\x=-12\\\\x-14=0\\\\x=14[/tex]

The possible base of the triangle is 14 in

and the height is

[tex]h= 2x+4\\\\h=2(14)+4\\\\h= 28+4\\\\\h= 32 in[/tex]

This table represents the proportional relationship between the number of boxes and the number of magnetic cubes held by the boxes. Cubes Boxes Number of cubes 1 n 5 625 8 1,000 What is the unknown value representing the unit rate?

Answers

Answer:

125

explanation:

I took the 2020 mathematics edg test

Answer:

B) 125

Step-by-step explanation:

I took the quiz.

A clothing company dyes cotton clothes in a huge container. They pour liquid dye into the container at a constant rate. How many ounces of dye do they pour into the container in 22 minutes

Answers

Answer:

Sorry, but I will need more info to solve this problem. Like how many oz they pour in for each load or how often they do a load.

You have ​$250 comma 000 in an IRA​ (Individual Retirement​ Account) at the time you retire. You have the option of investing this money in two​ funds: Fund A pays 2.4​% annually and Fund B pays 7.4​% annually. How should you divide your money between Fund A and Fund B to produce an annual interest income of ​$9 comma 000​?

Answers

Answer:

$190,000 goes to fund A while $60,000 goes to fund B to earn an annual interest income of $9,000

Step-by-step explanation:

Here, we are interested in knowing the way the money should be divided between the interest rates to give an annual interest totaling $9,000.

Let’s have the amount going to Fund A as $x while $y is the amount going to Fund B.

Although, we do not know the value of these amounts, we know that they both total $250,000

Thus, mathematically;

x + y = 250,000 •••••••••••(i)

Now also, let’s work with the percentages to get the interests:

For fund A;

2.4% of x = interest

2.4/100 * x = 2.4x/100

For fund B;

7.4% * y = interest

7.4/100 * y = interest

7.4y/100 = interest

Adding both gives a total of $9,000

Mathematically, that would be;

2.4x/100 + 7.4y/100 = 9,000

Multiply through by 100;

2.4x + 7.4y = 900,000 •••••••(ii)

From i, x = 250,000 -y

Substitute this into ii

2.4(250,000-y) + 7.4y = 900,000

600,000 -2.4y + 7.4y = 900,000

Collecting like terms, we have;

7.4y-2.4y = 900,000-600,000

5y = 300,000

y = 300,000/5

y = $60,000

But x = 250,000 - y

x = 250,000 - 60,000

x = $190,000

Someone please help me outttt


WET
Problem
Find the circumference of the circle below.
22
Use 7 for pi.
r = 10.5mm

Answers

Answer:

66mm

Step-by-step explanation:

The circumference of a circle is given by

C =2 pi r

  22/7 * 2( 10.5)

  22/7 * 21

  66

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