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29 June, 10:00

A bookmark has a perimeter of 46 centimeters and an area of 102 square centimeters. What are the dimensions of the bookmark?

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  1. 29 June, 13:29
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    6 cm by 17 cm

    Step-by-step explanation:

    The area is the product of the dimensions; the perimeter is double the sum of the dimensions.

    So, we want to find two numbers whose product is 102 and whose sum is 23.

    102 = 1·102 = 2·51 = 3·34 = 6·17

    The last of these factor pairs has a sum of 23.

    The dimensions are 6 cm by 17 cm.
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