Question

30. The perimeter of a rectangle is 292 feet. The length of the rectangle is 4 feet less than 5 times the width. What is the length and width of the rectangle? a. length = 121, width = 25​​b. length = 114.3, width = 23.7 c. length = 25, width = 121​​d. length = 121.7, width = 24.3

Answer 1

P = 2(L + W)
P = 292
L = 5W - 4

292 = 2(5W - 4 + W)
292 = 2(6W - 4)
292 = 12W - 8
292 + 8 = 12W
300 = 12W
300/12 = W
25 = W <=== width is 25 ft

L = 5W - 4
L = 5(25) - 4
L = 125 - 4
L = 121 <=== length is 121 ft