Question

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?

Answer 1

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 <==