Question

A small square of side 2x is cut from the corner of a rectangle with a width of 10 centimeters and length of 20 centimeters. Write an expression in terms of x for the area of the remaining shape.

Answer 1

Find the area of the rectangle. You can find the area of a rectangle with the following formula:

$A = wl$

w = width, and l = length.

Plug in your width and length:

$20 * 10 = 200$

The area of the rectangle is 200 square centimeters.

The area of a square is also given by width * length. Multiply the sides together:

$2x * 2x = 4x^{2}$

The area of a square is 4x^2.

Because you're cutting away the square from the rectangle, you will subtract the area of the square from the area of the rectangle. The following equation will be your answer:

$200 - 4x^{2} cm^{2}$