Answer:
B length = 8 in.; width = 4 in
Step-by-step explanation:
Given
the length L = w + 4
Perimeter = 24 inches
Perimeter of a rectangle
= 2(L + W)
We now have two equations.
Equation 1: L = w + 4
Equation 2: P = 2(L + W)
Substitute L as w + 4 into equation 1. And 24 for p
Therefore
24 = 2(w + 4 + w)
24 = 2(2w + 4)
Distribute 2 into (2w + 4)
We have
24 = 2 x 2w + 2 x 4
24 = 4w + 8
Subtract 8 from both sides
24 - 8 = 4w + 8 - 8
16 = 4w
Divide both sides by 4
16/4 = 4w/4
4 = w
w = 4 inches
Now substitute 4 for w into either of the equations to get
L.
Using equation 1 , we have
L = w + 4
L = 4 + 4
L = 8 inches
