Question

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

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 = 12 km and height = 12 km. So, $A_{large} = \frac{1}{2} \times 12 \times 12 = 72$ square kilometers.

Step2: Calculate area of small triangle

For the small triangle, base = 6 km and height = 6 km. Using the same formula, $A_{small} = \frac{1}{2} \times 6 \times 6 = 18$ square kilometers.

Step3: Subtract small area from large area

The area of the shaded region is $A_{shaded} = A_{large} - A_{small} = 72 - 18 = 54$ square kilometers.

Answer:

54