Question

The perimeter of a rectangle is 22ft , and the area of the rectangle is 24ft^2 . Find the dimensions of the rectangle.

Answer 1

perimeter is the sum of all the sides
area of a rectangle is
A= L * H
where L - length
and H - height

Answer 2

perimeter of a rectangle can be written as
P= 2L +2 H

Answer 3

2l + 2w = 22 ft
and
w*l = 24 ft^2

from first equation:

w=(22-2l)/2 = 11 - l

substitute in eq, 2

(11-l)*l=24 ft^2

11*l - l^2 = 24

solve for l, l = 3 or 8

if l=3, w= 8
if l=8, w=3

Answer 4

thank you