Suppose that a square and a rectangle have equal areas.

Question

Furthermore, suppose that the length of the rectangle is twice the length of a side of the square and the width of the rectangle is 4 centimeters less than the length of a side of the square. Find the dimensions of both figures

Answer 1

s² = 2s(s - 4)

s² = 2s² - 8

-s = -8

s = 8