Puzzle 134 - Area = Perimeter?
An artist has a strange idea that a canvas looks good only if its perimeter is equal to its area. Now the question is how many such rectangles are there with integer sides with their perimeter equal to area? And why?
An artist has a strange idea that a canvas looks good only if its perimeter is equal to its area. Now the question is how many such rectangles are there with integer sides with their perimeter equal to area? And why?
The integer pairs with 4 as product are (1,4),(2,2),(4-1)
Solutions 1 and 3 are identical.
So the only two rectangles with integers sides and area and perimeter being equal are rectangles with sides 3 and 6 and 4 and 4.
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