Find all sides of rectangle having integral sides whose area is numerically equal to perimeter? I also want the mathematical proof
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Let a and b be the sides of the rectangle. Then $\displaystyle 2a+2b=ab\Rightarrow a=\frac{2b}{b-2}=2+\frac{4}{b-2}$ Then $\displaystyle b-2$ must be a positive divisor of 4. Take all possible cases: b-2=1, b-2=2, b-2=4. Find b and then find a.
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