A square and a rectangle have the same area. The square has side length 8 in. The length of the
rectangle is four times its width. What is the length of the rectangle?

Answers

Answer 1

The first step we take is to find the area of the square since the area of the square is equal to the area of the rectangle

       [tex]area-of-rectangle = area- of-square\\area-of-rectangle = 8*8 = 64in^2[/tex]

Another fact we know is that the length of the rectangle is four times the width.

      L = 4W

L: Length's lengthW: Width's length

Now let's put the variables, found above, into the format to find the area of the rectangle

  [tex]area-of-rectangle = L * W, (L = 4W)\\area-of-rectangle = 4W * W\\\\64 = 4W^2\\16 = W^2\\\\W^2 = 16\\\\W = 4[/tex]

Since the Width is 4, L = 4 * W = 4 * 4 = 16 in.

So the length is 16 inches

Hope that helps!

   


Related Questions

A wall contains four windows of size 2.5 m X 1.6 m each and two gets of size 2 m x 3 m. If the length, breadth and the height of the wall are 50 m, 30 cm and 6 m respectively, find the volume of wall excluding the windows and gates.​

Answers

Answer:

Your answer is on

g o o g l e

what will be the nature of roots of quadratic equation 2x²+4x-7=0?

Answers

Understanding Concept :-

Let us consider a quadratic equation αx² + βx + c = 0, then nature of roots of quadratic equation depends upon Discriminant (D) of the quadratic equation.

If Discriminant, D > 0, then roots of the equation are real and unequal.

If Discriminant, D = 0, then roots of the equation are real and equal.

If Discriminant, D < 0, then roots of the equation are unreal or complex or imaginary.

Where,

[tex]\quad\red{ \underline { \boxed{ \sf{Discriminant, D = β² - 4αc}}}} [/tex]

Given Equation:-

[tex]\red{\leadsto}\: \sf{2x^2 + 4x -7= 0} [/tex]

α = 2β = 4c = -7

Now,

[tex]\quad\green{ \underline { \boxed{ \sf{Discriminant, D = β² - 4αc}}}} [/tex]

[tex]\begin{gathered}\begin{gathered}\implies\quad \sf D = 4^2-4\times 2\times ( - 7) \end{gathered} \end{gathered} [/tex]

[tex]\begin{gathered}\begin{gathered}\implies\quad \sf D = 16-( - 56)\end{gathered} \end{gathered} [/tex]

[tex]\begin{gathered}\implies\quad \sf D = 16 + 56\end{gathered}[/tex]

[tex]\begin{gathered}\begin{gathered}\implies\quad \sf D = 72 \end{gathered} \end{gathered} [/tex]

Since, Discriminant, D > 0, then roots of the equation are real and distinct.

9 is multipled by the cube of a number
need help

Answers

Answer:

9 cubed is 729 if that's what your asking

Mind helping? Thanks you so much

Answers

Answer:

D

Step-by-step explanation:

The square root of 24 is 4.8. on the line, the dot looks like it is the closest to 4.8

Find the variation constant and an equation of variation where y varies inversely as x and y = 12 when x = 9.

Answers

Answer:

here's the answer po, hope it helps u!^^

Step-by-step explanation:

You buy a baseball card that goes up in value each year at 12%. You original bought the card for $25. How much will it be worth in 10 years?

Answers

Answer:12 to 25 yrs

Step-by-step explanation:

convert 12% to a decimal

In a toy​ store, the ratio of the number of dolls to the number of teddy bears is 5:3 . If the store has 200 dolls ​, how many teddy bears are in the​ store?

Answers

ANSWER- 120

EXPLANATION-

200/5(dolls)=40
40x3(bears)=120

13) Where will the hand of a clock stop, if it starts from 9 and makes 3/4 revolution, clockwise?​

Answers

Answer: it will stop at the 6

12s–4s+2=10


answer windowssssssssssssssss i will give you brainliest and make you first


oh and how do we check the leaderboard

Answers

[tex]12s-4s+2=10 \\ 8s = 10 - 2 \\ 8s = 8 \\ \cancel8 s = \cancel8 \\ s = 1[/tex]

Solution:

We know that:

Given equation: 12s - 4s + 2 = 10

Step-1: Combine like terms

12s - 4s + 2 = 10s(12 - 4) + 2 = 10s(8) + 2 = 10

Step-2: Subtract 2 both sides

s(8) + 2 - 2 = 10 - 2s(8) = 8

Step-3: Divide 3 both sides

s(8)/8 = 8/8s = 8/8 = 1

Thus, the value of s is 1.

the sum of two natural numbers is 28 the product if these numbers is three times the square of the smaller numbers, Find these numbers

Answers

Answer:

21 and 7

Step-by-step explanation:

I sort of just used trial and error, but i started with numbers that had a significant difference, like 20, and 8, or 22 and 6

The natural numbers are 7 and 21 if the sum of two natural numbers is 28 the product of these numbers is three times the square of the smaller numbers.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

The sum of two natural numbers is 28 the product of these numbers is three times the square of the smaller numbers

Let x and y be the numbers and x is the smaller number

x + y = 28

xy = 3x²

Plug y = 28 - x in the second equation:

x(28 - x) = 3x²

3x² -28x + x² = 0

4x² -28x = 0

4x(x - 7) = 0

x = 0 or x = 7

y = 28 or y = 21

The natural numbers are 7 and 21

Thus, the natural numbers are 7 and 21 if the sum of two natural numbers is 28 the product of these numbers is three times the square of the smaller numbers.

Learn more about the linear equation here:

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4/3 and 8/6 which is bigger.
"(help meeeee)"

Answers

They are equal , check the picture below it will help you in any similar question

Since Each baseball game has 162 games in 1 season how many games are in 22 seasons?

Answers

Answer:

3564 games

Step-by-step explanation:

multiply 162 by 22.

Answer:

3,564

Step-by-step explanation:

From 46 to 61 percent of change

Answers

Answer:

46/61 times 100=75.40%

75.40%

The Chenery School sold a total of 78 tickets for the spring concert. Advance tickets sold for $5. 00 and tickets purchased the night of the concert cost $10. 50. If the total revenue for the night was $533, how many advance tickets were sold?

? tickets

Answers

Answer:

The answer is Find the equation of a line that passes through the point (-5,-1) and has a gradient of −1/2. Leave your answer in the form y=mx+c​

Step-by-step explanation:

The equation of a line that passes through the point (-5,-1) and has a gradient of −1/2. Leave your answer in the form y=mx+c​

The number of advance tickets sold was 52.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 8 is an equation.

We have,

Advance tickets x = $5.00

Tickets purchased the night of the concert cost y = $10.50

Total number of tickets = 78

The total cost of the tickets = $533

Now,

x + y = 78

x = 78 - y

Substituting

5x + 10.50y = 533

5 (78 - y) + 10.50y = 533

390 - 5y + 10.50y = 533

5.50y = 533 - 390

5.50y = 143

y = 26

Now,

x = 78 - y

x = 78 - 26

x = 52

Thus,

52 advance tickets were sold.

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When dividing (x^3+3x^2+3x+2)\(x-1) what is the remainder

Answers

Answer is -1

Hope that helps!!

Calculate the length for y

Answers

Answer:

[tex]3\sqrt{17}[/tex]

Step-by-step explanation:

4^2 + y^2 = 13^2

y= 3 square root 17

HELP WITH MATH. 100 PTS

Answers

if im not mistaken the answer should be C

Answer:

It would be the first one on the left.

Step-by-step explanation:

Sushil was thinking of a number. Sushil subtracts 14 from it and gets an answer of 23. What was the original number?

Answers

Answer:

the original number is 37

Step-by-step explanation:

x-14=23

x=23+14

x=37

If c=25 and b=74°, find A. Round to the nearest tenth.

Answers

Answer:

A= 81

Step-by-step explanation:

180-99=81

My homework for my engineering class is what car do you like and how would you mod it? The one i like the most get brainliest.

Answers

Answer:

Ford Mustang

Step-by-step explanation:

The latest versions have been some of the best American cars ever made

2.3-liter EcoBoost or the full-fat GT, it's highly tunable and can be turned into a proper blue-collar supercar slayer.

The aftermarket support available to the Mustang is unmatched by any other domestic car.

I know I sound like I'm selling this car, but its really cool and powerful.

The box plot displays a summary of the numbers of peaches on 20 different trees.

Which statement best describes this data set?

A The data are clustered from 12 to 19.

B The peak of the data is at 25.

C The data are asymmetrical.

DThe upper quartile contains more values than the lower quartile.

Answers



D. the upper quartile contains more values than the lower quartile.

find the volume of the red pyramid

Answers

Answer:

it's 12.

4x3

Step-by-step explanation:

o Watch help video
A group of friends wants to go to the amusement park. They have no more than $140
to spend on parking and admission. Parking is $6.50, and tickets cost $22.25 per
person, including tax. Use the drop-down menu below to write an inequality
representing p, the number of people who can go to the amusement park.
P
0
8
54
Submit Answer
hp

Answers

U don’t have the video linked

What is the perimeter, measured in centimeters, of the rectangle pictured
below? Do not include units in your answer.
3 cm
9 cm
Answer here

Answers

24

Add 9 and 3 twice since you need to cover the whole shape.

Answer:

24x1x1*1*1*1

Step-by-step explanation:

that should be the answer as l+b+l+b as perimeter is only the length of the boundary.

you can also say it as 2(l+b) as if you multiply something by to it simply means adding it by it once. l is length 9, b is breadth 3 btw

Mia has a loyalty card good for a 16% discount at her local grocery store. What would
her total in dollars and cents be, after the discount and before tax, if the total cost of
all the items she wants to buy is $24.50? Round to the nearest cent.

Answers

The total price in dollars and cents is twenty dollars and sixty cents.

What are discount rates?

Discount rates are the reduction of actual price knowns as a benefit that a customer or a consumer enjoys in the total amount of goods or products being purchased. They are calculated by multiplying the total amount of goods bought with the discount percentage rate given.

From the given information:

Mia's loyalty card has a discount rate of = 16%The total cost of items she wants to buy = $24.50

Thus, before tax deduction, the total of items bought while taking the discount rate into consideration is:

= 16% × $24.50

[tex]\mathbf{= \dfrac{16}{100} \times \$24.50}[/tex]

= $3.92

The total price after removing the discount price now will be:

= $24.50 - $3.92

= $20.58

≅ $20.60   (to the nearest cent)

Learn more about the discount rate here:

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(Write 25
as three different expressions)
1)___
2)
3)_

Answers

Answer:

5^2

is one

Step-by-step explanation:

What is the surface area of this rectangular prism?

Answers

Answer:

1504

Step-by-step explanation:

[tex]SA= 2(wl+hl+hw)\\SA=2(20*16+12*16+12*20)\\SA= 1504[/tex]

What is the arc length of a semicircle with a radius of 14?

Answers

Answer:

Perimeter of the semicircle is the formula r(π+2).

Radius r=14 cm

So, perimeter =14(π+2)... where π= 22/7

=2(22+14)=44+28=72 cm

So , the answer is

72 I guess

Step-by-step explanation:

If f(x) = x + 4 and g(x) = x3, what is (gºf)(-3)?

Answers

Answer:

(g ○ f)(- 3) = 1

Step-by-step explanation:

evaluate f(- 3) then substitute the value obtained into g(x)

f(- 3) = - 3 + 4 = 1 , then

g(1) = 1³ = 1

What is the measure of each interior angle of a regular pentagon Step by step pls

Answers

Answer:

To find the measure of each interior angle of any regular polygon, we use the formula {(n - 2) × 180} / n degrees, where n is the number of sides of the polygon.

Step-by-step explanation:

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