2x+2y = 102
x^2+y^2 = 39^2
A 5-12-13 right triangle looks promising. Scale that up to a 15-36-39 size, and we see that 15+36=51, so our rectangle is 15 by 36
The perimeter of a rectangle is 102 inches, and the length of the diagonal is 39 inches. Find the dimensions of the rectangle.
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