Question

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

Explanation:

Step1: Calculate the area of the large triangle

The formula for the area of a triangle is \(A=\frac{1}{2}\times base\times height\). For the large triangle, base \(b = 40m\) and height \(h=33m\).

$$A_{large}=\frac{1}{2}\times40\times33 = 20\times33=660$$

Step2: Calculate the area of the small triangle

For the small triangle, base \(b = 26m\) and height \(h = 21m\).

$$A_{small}=\frac{1}{2}\times26\times21=13\times21 = 273$$

Step3: Calculate the area of the shaded region

Subtract the area of the small triangle from the area of the large triangle.

$$A_{shaded}=A_{large}-A_{small}=660 - 273=387$$

Answer:

\(387\) square meters