A contractor needs 54 square feet of brick to construct a rectangular walkway. The length of the?
A contractor needs 54 square feet of brick to construct a rectangular walkway. The length of the
walkway is 15 feet more than the width.
Write an equation that could be used to determine the dimensions of the walkway. Solve this
equation to find the length and width, in feet, of the walkway.
L = W + 15
L * W = 54
(W + 15) * W = 54
W^2 + 15W = 54
W^2 + 15W – 54 = 0
W = (-15 +/- sqrt(15^2 – 4 * 1 * -54)) / (2 * 1)
W = (-15 +/- sqrt(225 + 216)) / 2
W = (-15 +/- sqrt(441)) / 2
W = (-15 +/- 21) / 2
W = 6/2 or W = -36/2
W = 3 or W = -18
Obviously W cannot equal -18, so W = 3 and L = 18.
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