Posted by **Jess** on Wednesday, February 23, 2011 at 8:17pm.

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

- math -
**Ms. Sue**, Wednesday, February 23, 2011 at 8:23pm
A = lw

35 = 5 * 7

- math -
**Reiny**, Wednesday, February 23, 2011 at 8:23pm
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

## Answer this Question

## Related Questions

basic geometric - 10. a rectangle has width the same as a side of a square whose...

Math - The perimeter of a rectangle is 34 feet and the area measures 60 square ...

math - The length, l, of a rectangle is 2 feet less than three times the width, ...

Math - The area of a rectangle is shown below The area of the rectangle is 56 ...

Math - The first question is this: Helen designs a rectangle with an area of 225...

basic geometry - A rectangle has width the same asa a side of a square whose ...

Math - The perimeter of a rectangle is 52 feet. The length is 2 feet shorter ...

Geometry - The length of a rectangle is 3x+10 feet and its width is x+12 feet. ...

maths - the length of a rectangle is 3 less than 5 times its width. Write a ...

algebra - the area of a rectangle is 425 square feet. if the perimeter is 84 ...