A rectangle is 3/2 times as long as it is wide. The perimeter of the rectangle is 100 inches. What’s the length of the rectangle?
Detailed Explanation
The formula for the perimeter of a rectangle is P = 2L + 2W.
In this case, P = 100 and L = 1.5W.
100 = 2(1.5W) + 2W
100 = 3W + 2W
100 = 5W
W = 100/5
W = 20. The width of the rectangle is 20 inches.
Because the length is \(1\frac{{1} }{{2}}\) the width,1.5 × 20 = 30.
In this case, P = 100 and L = 1.5W.
100 = 2(1.5W) + 2W
100 = 3W + 2W
100 = 5W
W = 100/5
W = 20. The width of the rectangle is 20 inches.
Because the length is \(1\frac{{1} }{{2}}\) the width,1.5 × 20 = 30.
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