Question

what is the area of the shaded region? 17 mi 14 mi 10 mi 13 mi square miles

Explanation:

Step1: Calculate area of outer rectangle

The outer rectangle has length \( 17 \) mi and width \( 14 \) mi. The area of a rectangle is \( \text{length} \times \text{width} \), so the area of the outer rectangle is \( 17 \times 14 \).
\( 17 \times 14 = 238 \) square miles.

Step2: Calculate area of inner rectangle

The inner rectangle has length \( 13 \) mi and width \( 10 \) mi. Using the same area formula for a rectangle, the area of the inner rectangle is \( 13 \times 10 \).
\( 13 \times 10 = 130 \) square miles.

Step3: Subtract inner area from outer area

To find the area of the shaded region, we subtract the area of the inner rectangle from the area of the outer rectangle. So, \( 238 - 130 \).
\( 238 - 130 = 108 \) square miles.

Answer:

108