Question

what is the area of the shaded region? 4 yd 8 yd square yards submit

Explanation:

Step1: Recall triangle area formula

The area of a triangle is given by \( A = \frac{1}{2} \times \text{base} \times \text{height} \).

Step2: Identify base and height

Here, the base of the shaded triangle is \( 8 \) yd and the height is \( 4 \) yd (since the height is the perpendicular distance, which is given as \( 4 \) yd).

Step3: Calculate the area

Substitute the values into the formula: \( A = \frac{1}{2} \times 8 \times 4 \). First, multiply \( 8 \times 4 = 32 \), then multiply by \( \frac{1}{2} \): \( \frac{1}{2} \times 32 = 16 \).

Answer:

16