Question

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

Explanation:

Step1: Calculate area of outer square

The outer square has side length \( 36.9 \, \text{m} \). The area of a square is \( \text{side}^2 \), so the area of the outer square is \( 36.9^2 \).
\( 36.9^2 = 36.9\times36.9 = 1361.61 \, \text{square meters} \)

Step2: Calculate area of inner square

The inner square has side length \( 27.4 \, \text{m} \). Using the area formula for a square, the area of the inner square is \( 27.4^2 \).
\( 27.4^2 = 27.4\times27.4 = 750.76 \, \text{square meters} \)

Step3: Subtract inner area from outer area

The area of the shaded region is the area of the outer square minus the area of the inner square. So we calculate \( 1361.61 - 750.76 \).
\( 1361.61 - 750.76 = 610.85 \, \text{square meters} \)

Answer:

\( 610.85 \)