Question

1. what is the area of the shaded region?

89 mi
48 mi
51 mi
94 mi

1. write your answer as a whole number or a decimal rounded to the nearest hundredth.
2. □ square miles

Explanation:

Step1: Find area of large triangle

The area of a right triangle is $\frac{1}{2} \times \text{base} \times \text{height}$. For the large triangle:
$\frac{1}{2} \times 94 \times 89$
$= 47 \times 89 = 4183$ square miles

Step2: Find area of small triangle

For the unshaded small right triangle:
$\frac{1}{2} \times 51 \times 48$
$= 51 \times 24 = 1224$ square miles

Step3: Subtract areas for shaded region

Subtract the small triangle area from the large triangle area to get the shaded region area:
$4183 - 1224$

Answer:

2959 square miles