Question

the entire rectangle below has an area of $76\\ \mathrm{cm}^2$. find the area of the shaded triangle. be sure to include the correct unit in your answer.

Explanation:

Step1: Recall rectangle and triangle area relation

The shaded triangle divides the rectangle into two congruent triangles. So, area of triangle = $\frac{1}{2}$ × area of rectangle.

Step2: Calculate triangle area

Substitute rectangle area: $\frac{1}{2}×76 = 38$.

Answer:

38 cm²