Answer:
8 in.
Step-by-step explanation:
Perimeter of a rectangle, P = 2(L + W)
Value of P = 46.
Length is 7 inches less than the width. This translates to L = W - 7
Substitute L = W - 7 into the perimeter equation, you get
46 = 2(W - 7 + W)
46 = 2(2W - 7)
46 = 4W - 14
4W = 60
W = 60 / 4 = 15 in
L = W - 7 = 15 - 7 = 8 in