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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- Sep 30th 2009, 07:34 AManshulbshahPlease help....tricky question
Find all sides of rectangle having integral sides whose area is numerically equal to perimeter?

I also want the mathematical proof - Sep 30th 2009, 07:53 AMred_dog
Let a and b be the sides of the rectangle. Then

Then 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.