Which has a greater area, a square with sides that are x - 1 units long or a rectangle with a length of x units and a width of x - 2 units?

Area of square = a^2 ... where a is the length of 1 side

A = (x - 1) ^2

A = (x - 1) (x - 1)

A = x^2 - 2x + 1

Area of rectangle = L * W

A = x (x - 2) = x^2 - 2x

The greater area would be the square <==