Question

The dimensions of a square are altered so that one dimension is increased by 7 feet, while the other is decreased by 2 feet. The area of the resulting rectangle is 90 ft2. Find the original area of the square.

Answer 1

64 ft^2

Explanation:

It is a square to start, so each side = x

then (x+7 ) * ( x -2) = 90

x^2 + 5x -14 = 90

x^2 + 5x - 104 = 0 factor or use Quadratic Formula to fin x = 8 ft

Original area is then 8 x 8 = 64 ft^2