Question

what is the area of the shaded region?
37.5 km
23.8 km
37.3 km
23.1 km
write your answer as a whole number or a decimal rounded to the nearest hundredth.
square kilometers

Explanation:

Step1: Calculate area of outer rectangle

The outer rectangle has length \( 37.5 \) km and width \( 37.3 \) km. The area of a rectangle is \( \text{length} \times \text{width} \), so the area of the outer rectangle is \( 37.5 \times 37.3 \).
\[
37.5 \times 37.3 = 1398.75
\]

Step2: Calculate area of inner rectangle

The inner rectangle has length \( 23.1 \) km and width \( 23.8 \) km. Using the rectangle area formula, the area of the inner rectangle is \( 23.1 \times 23.8 \).
\[
23.1 \times 23.8 = 549.78
\]

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: \( 1398.75 - 549.78 \).
\[
1398.75 - 549.78 = 848.97
\]

Answer:

\( 848.97 \)