Question

what is the area of the shaded region? 32 yd 21 yd 24 yd 36 yd write your answer as a whole number or a decimal rounded to the nearest hundredth.

Explanation:

Step1: Calculate area of large triangle

The formula for the area of a triangle is $A = \frac{1}{2} \times base \times height$. For the large triangle, base = 32 yd and height = 36 yd. So, $A_{large} = \frac{1}{2} \times 32 \times 36$.
$A_{large} = 16 \times 36 = 576$ square yards.

Step2: Calculate area of small triangle

For the small triangle, base = 21 yd and height = 24 yd. Using the same area formula, $A_{small} = \frac{1}{2} \times 21 \times 24$.
$A_{small} = 10.5 \times 24 = 252$ square yards.

Step3: Subtract to find shaded area

The shaded area is the area of the large triangle minus the area of the small triangle. So, $A_{shaded} = A_{large} - A_{small} = 576 - 252$.
$A_{shaded} = 324$ square yards.

Answer:

324