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Liz said that she would take Jill to lunch if she could find the only two rectangles whose dimensions are integers and whose area and perimeter equal the same number. What should Jill's answer be?
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Perimeter and Area:

$ab = 2a + 2b = 2(a + b)$

 a b ab 2a + 2b 1 1 1 4 2 2 4 4 + 4 = 8 4 4 16 8 + 8 = 16 6 3 18 12 + 6 = 18

Thus, the only rectangles are a 4 x 4 and a 6 x 3.

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