Question

activity 1 - area of composite figures
question #4 - determine the area of the shaded region in each figure.
what is the area of the shaded right triangle? sq.in.
what is the area of the shaded trapezoid? sq.in.
what is the area of the shaded region? sq.in.

Explanation:

Step1: Calculate triangle area

The right triangle has base $4$ in and height $4$ in. Area formula: $\frac{1}{2} \times \text{base} \times \text{height}$
$\frac{1}{2} \times 4 \times 4 = 8$ sq. in.

Step2: Calculate trapezoid area

The trapezoid has bases $4$ in, $6$ in, and height $2$ in. Area formula: $\frac{1}{2} \times (\text{base}_1 + \text{base}_2) \times \text{height}$
$\frac{1}{2} \times (4 + 6) \times 2 = 10$ sq. in.

Step3: Total shaded area

Add triangle and trapezoid areas.
$8 + 10 = 18$ sq. in.

Answer:

What is the area of the shaded right triangle? 8 sq. in.
What is the area of the shaded trapezoid? 10 sq. in.
What is the area of the shaded region? 18 sq. in.