Question

the shaded triangle has an area of 18 in². find the area of the entire rectangle. be sure to include the correct unit in your answer.

Explanation:

Step1: Recall triangle and rectangle area relation

A diagonal of a rectangle divides it into two congruent triangles. So the area of the rectangle is twice the area of one of these triangles.

Step2: Calculate rectangle area

Given the area of the shaded triangle is \( 18\ \text{in}^2 \), the area of the rectangle \( A = 2\times18\ \text{in}^2 \)
\( A = 36\ \text{in}^2 \)

Answer:

\( 36\ \text{in}^2 \)