A rectangle has a perimeter of 36 inches. It’s length is 3 inches greater than twice the width. What’s the rectangle’s length?
13 inches.
5 inches.
18 inches.
20 inches.
Detailed Explanation
A rectangle’s perimeter is determined by the formula P = 2(l + w). The length of this rectangle is 3 + 2w. Substituting the known values into the formula results in 36 = 2(w + 3 + 2w).
36 = 2(3w + 3)
18 = 3w + 3
15 = 3w
w = 5
As the length is 3 + 2w, then l = 3 + 2(5), or l = 13.
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