Question

A rectangle with a perimeter of 102 inches is half as wide as it is long. Write and solve an equation to determine the length of this rectangle in inches.

Answer 1

P = 2L + 2W
P = 102
W = 1/2L (half as wide as it is long means its width is half of its length)

Now we sub
102 = 2L + 2(1/2L)
102 = 2L + 1L
102 = 3L
102/3 = L
34 = L

W = 1/2L
W = 1/2(34)
W = 17

check..
P = 2L + 2W
102 = 2(34) + 2(17)
102 = 68 + 34
102 = 102 (correct)

Answer 2

Thank you, I understand now.