Question

area of triangles
relating triangles and rectangles
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: Find 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.
\(A_{rectangle}=7\times6 = 42\) square inches.

Step2: Relate the area of the rectangle to the area of the triangle

Since the rectangle is cut into two equal - area triangles, the area of one triangle \(A_{triangle}=\frac{1}{2}\times A_{rectangle}\).
\(A_{triangle}=\frac{1}{2}\times42\)
\(A_{triangle}=21\) square inches.

Answer:

21