Question

A rectangular playground has a perimeter of 180 feet. If the width of the playground is 24 feet less than the length, what is the width, in feet, of the playground?

A. 27
B. 33
C. 51
D. 57

Answer 1

P = 2(L + W)
P = 180
W = L - 24
now we sub
180 = 2(L + L - 24)
180 = 2(2L - 24)
180 = 4L - 48
180 + 48 = 4L
228 = 4L
228/4 = L
57 = L

W = L - 24
W = 57 - 24
W = 33

so ur length (L) = 57 ft and ur width (W) = 33 ft