The perimeter of the rectangle above is $p$ inches and the area of the rectangle is $36$ square inches. If $l$ and $w$ are integers, what is one possible value of $p$ ?

24

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28

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Solution

The correct option is B $24$
Area of rectangle $= l \times w = 36$ .
The possible values of $(l, w) = (1, 36), (2, 18), (3, 12), (4, 9), (6, 6)$ .
The possible values of $p$ are $2 (l + w) = 74, 40, 30, 26, 24$ .

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