# math

A rectangle has a perimeter of 24 and an area of 35 square feet. What is the length and width of the rectangle?

1. 👍
2. 👎
3. 👁
1. A = lw

35 = 5 * 7

1. 👍
2. 👎
👤
Ms. Sue
2. length --- x
width ---- y

2x + 2y = 24
x + y = 12
y = 12-x

xy=35
x(12-x) = 35
-x^2 + 12x - 35 = 0
x^2 - 12x + 35 = 0
(x-7)(x-5)= 0
x = 7 or x = 5

if x=7, y=5 or if x=5, then y=7

the rectangle is 5 by 7

1. 👍
2. 👎

## Similar Questions

1. ### Math

A square has the same area as a rectangle whose longer side is 2 times the length of its shorter side. If the perimeter of the rectangle is 24, what is the perimeter of the square? A. 8 sqrt 2 B. 16 sq

2. ### maths

the length of a rectangle is 4 times than its width. the area of the rectangle is 1024cm2 find the length of the rectangle the perimeter of the rectangle 4 square has the same perieter as that its rectangle. Find the area of the

3. ### Math

what is the least perimeter of a rectangle with an area of 32 square feet

4. ### math

A square has the same area as a rectangle whose longer side is 2 times the length of its shorter side. If the perimeter of the rectangle is 24, what is the perimeter of the square? I have no idea how to do it. I need help.

1. ### Math

1. What is a reasonable distance between two cities? • 200 km

2. ### Math

The length and width of a rectangle are (x+4)cm and xcm respectively. Write down expressions for: A. The perimeter of the rectangle B. The length of the side of a square with the same perimeter If the sum of the areas of the

3. ### Math

A rectangle has sides of 10 and 12 units.How can the area of a square be computed if it has the same perimeter of the rectangle?

4. ### geometry

Given: QRST is a parallelogram. Prove: QRST is a square. Complete the proof below by choosing the reason for line number 2 and line number 6. Reason Statement 1. QRST is a parallelogram. Given 2. QRST is a rectangle 3. is a right

1. ### Algebra 0110 College

1) A rectangle has perimeter 38 feet and an area of 78 square feet. Find the dimensions of the rectangle assuming the width is smaller than the length. L= W= 2) A rectangular canvas picture measures 9 inches by 7 inches. The

2. ### math

A farmer wishes to fence a rectangular area behind his barn. The barn forms one end of the rectangle and the length of the rectangle is three times the width. How many linear feet of fence must he buy if the perimeter of the

3. ### math

a rectangle has a area 3 square feet and width 1/2 foot. What is the length of the rectangle? I think it is 3 times 1/2 equals 1 1/2 feet. Is this correct?

4. ### Math

The first question is this: Helen designs a rectangle with an area of 225 square units. Her rectangle is the largest rectangle (that is, with largest area) with whole-number side lengths that can be made from the perimeter of the