3 years ago

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

Mathematics

1 answer:

Alinara [238K]3 years ago

3 0

Answer:

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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