Answer:
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.
