Mr. Looper cut a triangle with a height of 2 inches and a base of 4 inches out of a square piece of fabric measuring 12 inches by 12 inches. He keeps the leftover fabric for other projects. What is the area of the fabric he will have leftover.

Answer: the area of the fabric he will have leftover is 140 inches²

Step-by-step explanation:

The formula for determining the area of a triangle is expressed as

Area = 1/2 * base * height

From the given information,

Height = 2 inches

Base = 4 inches

Area of triangle = 1/2 * 4 * 2 = 4 inches²

The formula for determining the area of a square is expressed as

Area = length ²

Length = 12 inches

Area of square = 12 * 12 = 144 inches²

The area of the fabric he will have leftover is area of square - area of triangle. It becomes

144 - 4 = 140 inches²