Math CentralQuandaries & Queries


Question from Mariam, a student:

A pamphlet has the following dimensions: 4 cm by 6 cm
If the area of the pamphlet is doubled, what will be the length of each side if
sides can be integer values only?

Hi Mariam,

The area of the pamphlet is $4 \times 6 = 24$ square centimeters so the larger pamphlet would be $2 \times 24 = 48$ square centimeters. Thus the new pamphlet can be $L$ cm by $W$ cm where $L$ and $W$ ar integers and $L \times W = 48.$ How many pairs of integers $L$ and $W$ are there so that $L \times W = 48?$ I got 6. What are they?


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