The length of a rectangle is 4 in longer than its width.
if the perimeter of the rectangle is 28 in, find its area.

45in²

Step-by-step explanation:

P = 28

l = w + 4

Use the equation for perimeter:

P = 2l + 2w

P = 2(w+4) + 2w

P = 2w + 8 + 2w

P = 4w + 8

Since we know P=28, we can solve for w.

P = 4w + 8

28 = 4w + 8

4w = 20

w = 5

Substitute w=5 into the length formula

l = w + 4

l = 5 + 4

l = 9

With l=9 and w=5, find the area using the area formula for rectangle.

A = lw

A = (9)(5)

A = 45

The area of the rectangle is 45 squared inches.

if you use photomath right away it will give you the answer not like this app that you have to wait for people.

it’s supposed to be -4+45=41

step-by-step explanation: