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If the area of a square region having sides of length 6 centimeters is equal to the area of a rectangular region having width 2.5 centimeters, then the length of the rectangle, in centimeters, is ?
8.5
9.5
9.6
10.5
14.4
8.5
9.5
9.6
10.5
14.4
Solution
Length of the side of the square = 6 cm
Then, the area of the square = 62 = 36 cm2
Let the length of the rectangle be = L cm
Width of the rectangle = 2.5 cm
Area of the rectangle = (L)(2.5)
Given, (L)(2.5) = 36 cm2
Therefore, L = 36/2.5 = 14.4 cm
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