Problem: what are the dimensions of the driveway?
the perimeter of a driveway is 168ft. the length is 12ft longer than three times the width. what are the dimensions of the driveway?
l = 3w + 12
p = 2l + 2w
p = 2(3w + 12) + 2w
p = 6w + 24 + 2w
p = 8w + 24
168 - 24 = 8w + 24 - 24
144 = 8w
144/8 = 8w/8
18 = w
l = 3w + 12
l = 3(18) + 12
l = 54 + 12
l = 66
p = 2l + 2w
168 = 2(66) + 2(18)
168 = 132 + 36
168 = 168
Answer: lenght = 66 ft, width = 18 ft