Question

what is the area of the shaded region? 75 m 37 m 52 m 71 m write your answer as a whole number or a decimal rounded to the nearest hundredth.

Explanation:

Step1: Calculate area of large triangle

The formula for the area of a triangle is \( A = \frac{1}{2} \times base \times height \). For the large triangle, base = 75 m, height = 71 m.
\( A_{large} = \frac{1}{2} \times 75 \times 71 \)
\( A_{large} = \frac{75 \times 71}{2} = \frac{5325}{2} = 2662.5 \) m²

Step2: Calculate area of small triangle

For the small triangle, base = 52 m, height = 37 m.
\( A_{small} = \frac{1}{2} \times 52 \times 37 \)
\( A_{small} = \frac{52 \times 37}{2} = \frac{1924}{2} = 962 \) m²

Step3: Subtract small area from large area

Shaded area = \( A_{large} - A_{small} \)
Shaded area = \( 2662.5 - 962 = 1700.5 \) m²

Answer:

1700.5