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Let the length be (x+2) and the width be x:

length*width = 2(length+width)

(x+2)*x = 2(x+2+x)

x2+2x = 4x+4

x2+2x-4x-4 = 0

x2-2x-4 = 0

Solving the above quadratic equation gives a positive value of 3.236067977 for x.

Therefore: length = 5.236067977 cm and width = 3.236067977 cm

Check: length*width = 16.94427191 cm2 and 2(length+width) = 16.94427191 cm

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Q: What are the dimensions of a rectangle when one side is 2 cm longer than the other side and its area is equal to its perimeter in numerical value?
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