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.
Find the area of the rectangle. You can find the area of a rectangle with the following formula:
[tex]A = wl[/tex]
w = width, and l = length.
Plug in your width and length:
[tex]20 * 10 = 200[/tex]
The area of the rectangle is 200 square centimeters.
The area of a square is also given by width * length. Multiply the sides together:
[tex]2x * 2x = 4x^{2}[/tex]
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:
