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

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