Question

what is the area of the shaded region?
37 km
27 km
20 km
27 km
write your answer as a whole number or
a decimal rounded to the nearest
hundredth.

Explanation:

Step1: Find area of large triangle

The large triangle is a right triangle with legs 37 km and 27 km. The formula for the area of a right triangle is $\frac{1}{2} \times \text{base} \times \text{height}$. So, area of large triangle is $\frac{1}{2} \times 37 \times 27$.
Calculating: $\frac{1}{2} \times 37 \times 27 = \frac{999}{2} = 499.5$ $km^2$.

Step2: Find area of small triangle

The small triangle is a right triangle with legs 27 km and 20 km. Using the same area formula, area of small triangle is $\frac{1}{2} \times 27 \times 20$.
Calculating: $\frac{1}{2} \times 27 \times 20 = 270$ $km^2$.

Step3: Subtract areas to get shaded area

Shaded area = Area of large triangle - Area of small triangle. So, $499.5 - 270 = 229.5$ $km^2$.

Answer:

229.5