Question

what is the area of the shaded region?
39 yd
20 yd
20 yd
38 yd
write your answer as a whole number or a decimal rounded to the nearest hundredth.
square yards

Explanation:

Step1: Calculate area of large triangle

The large triangle has a base of 38 yd and a height of 39 yd. The formula for the area of a triangle is $A = \frac{1}{2} \times base \times height$. So, $A_{large} = \frac{1}{2} \times 38 \times 39$.
$A_{large} = 19 \times 39 = 741$ square yards.

Step2: Calculate area of small triangle

The small triangle has a base of 20 yd and a height of 20 yd. Using the same area formula, $A_{small} = \frac{1}{2} \times 20 \times 20$.
$A_{small} = 10 \times 20 = 200$ square yards.

Step3: Calculate area of shaded region

The shaded region's area is the area of the large triangle minus the area of the small triangle. So, $A_{shaded} = A_{large} - A_{small}$.
$A_{shaded} = 741 - 200 = 541$ square yards.

Answer:

541