what is the area of this figure?\nwrite your answer using decimals, if necessary.\n$square$ square kilometers

what is the area of this figure?\nwrite your answer using decimals, if necessary.\n$square$ square kilometers

what is the area of this figure?\nwrite your answer using decimals, if necessary.\n$square$ square kilometers

Answer

Explanation:

Step1: Split into 3 shapes

Divide the figure into a top rectangle, a middle rectangle, and a bottom triangle.

Step2: Calculate top rectangle area

Area = length × width = $3 \times 6 = 18$ km²

Step3: Calculate middle rectangle area

First find width: $3+3=6$ km, area = $6 \times 5 = 30$ km²

Step4: Calculate bottom triangle dimensions

Base: $5+3+3=11$ km, height: $15-(11-5)=9$ km

Step5: Calculate bottom triangle area

Area = $\frac{1}{2} \times 11 \times 9 = 49.5$ km²

Step6: Sum all areas

Total area = $18 + 30 + 49.5$

Answer:

97.5 square kilometers