The perimeter of a basketball court is 84 meters and the length is 6 meters longer than twice the width. What are the length and width?
Let the width = W......then the Length = L = 2W + 6
And the perimeter = 2(W + L).....so we have
84 = 2 (W + L)
84 = 2 (W + 2W + 6) simplify
84 = 2(3w + 6)
84 = 6w + 12 subtract 12 from both sides
72 = 6W divide both sides by 6
W = 12m
And L = 2W + 6 = 2(12) + 6 = 30m