Question

this rectangle was cut to make these two triangles.
the base of the rectangle is 7 inches, and the height is 6 inches.
the area of one triangle is square inches.

Explanation:

Step1: Calculate the area of the rectangle

The formula for the area of a rectangle is \(A = base\times height\). Given \(base = 7\) inches and \(height=6\) inches, so \(A = 7\times6=42\) square inches.

Step2: Find the area of one triangle

Since the two triangles are formed by cutting the rectangle, the area of one triangle is half of the area of the rectangle. Using the formula \(A_{triangle}=\frac{1}{2}\times A_{rectangle}\), we have \(A_{triangle}=\frac{1}{2}\times42 = 21\) square inches.

Answer:

21