Question

what is the area of the shaded region?
11.4 yd
9 yd
square yards

Explanation:

Step1: Recall triangle area formula

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

Step2: Identify base and height

Here, the base of the shaded triangle is \( 9 \) yd and the height is \( 11.4 \) yd (since the height of the larger right triangle is the same as the height of the shaded triangle).

Step3: Calculate the area

Substitute the values into the formula: \( A = \frac{1}{2} \times 9 \times 11.4 \). First, multiply \( 9 \times 11.4 = 102.6 \). Then, divide by \( 2 \): \( \frac{102.6}{2} = 51.3 \).

Answer:

\( 51.3 \)