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A 10-by-12-inch page has margins of 1.5 inches on all sides. What fraction of the area of the page is taken up by the margins? Express your answer as a common fraction. Thanks!

 Mar 27, 2020
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Since you have a 1.5 in margin on both the left and the right, the center portion will be 10 - 1.5·2 = 7 inches wide.

With those margins on the top and the bottom, the center portion will be 12 - 1.5·2 = 9 inches tall.

 

The center portion has an area of 7 x 9 = 63 square inches.

The whole page has an area of 10 x 12 = 120 square inches.

Subtracting, we find that the margins have an area of 120 - 63 = 57 square inches.

 

The fraction of the page taken up by the margins is 57 / 120 = 19/40.

 Mar 27, 2020
edited by geno3141  Mar 27, 2020

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