Posted by Anonymous on .
The area of a rectangle is 72 square inches and the perimeter is 44 inches. Find its dimensions.

Geometry 
Ms. Sue,
One way to solve this is to find the factors of 72. Then see which of these will fit for the perimeter.

Geometry 
Reiny,
let the length and width be x and y respectively
then
2x + 2y = 44
x + y = 22
y = 22x
area = xy = 72
x(22x) = 72
22x  x^2  72 = 0
x^2  22x + 72 = 0
(x4)(x18) = 0
x = 4 or x = 18
if x = 4, then y = 224 = 18
if x = 18, then y = 2218 = 4
the dimensions are 4 by 18 inches