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 miles

Explanation:

Step1: Identify shape type

Both are right triangles (right angle implied by sides).

Step2: Calculate area of large triangle

Formula: $\frac{1}{2} \times base \times height$
$\frac{1}{2} \times 74 \times 96 = 3552$ square miles

Step3: Calculate area of small triangle

Formula: $\frac{1}{2} \times base \times height$
$\frac{1}{2} \times 40 \times 51 = 1020$ square miles

Step4: Subtract small from large area

$3552 - 1020 = 2532$

Answer:

2532 square miles