Question

what is the area of the shaded region?
write your answer as a whole number or a decimal rounded to the nearest hundredth.
square feet

Explanation:

Step1: Identify triangle type & formula

These are right triangles, area = $\frac{1}{2} \times base \times height$

Step2: Calculate area of large triangle

$\frac{1}{2} \times 83 \times 97 = \frac{8051}{2} = 4025.5$ square feet

Step3: Calculate area of small triangle

$\frac{1}{2} \times 51 \times 59 = \frac{3009}{2} = 1504.5$ square feet

Step4: Subtract to find shaded area

$4025.5 - 1504.5$

Answer:

2521 square feet