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What is the area of this figure?3 km8 km5 km22 km14 km3 km4 km

What is the area of this figure?3 km8 km5 km22 km14 km3 km4 km-example-1

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To calculate the area of this figure, we need to divide it in 3 different figures:

For the second rectangle, we have a base of:


\begin{gathered} \text{base}=5+3=8\text{ km} \\ \text{height}=14\operatorname{km} \\ \text{Then, its area would be:} \\ A=8\cdot14 \\ A=112m^2 \end{gathered}

Then, for the triangle:


\begin{gathered} A_(triangle)=\frac{\text{base}\cdot\text{height}}{2} \\ A_(triangle)=(5\cdot4)/(2)=(20)/(2)=10m^2 \end{gathered}

Now, since we have the area of all the figures inside, we can add up all of them and get the total area:


\begin{gathered} A_(total)=24+112+10 \\ A_(total)=146m^2 \end{gathered}

What is the area of this figure?3 km8 km5 km22 km14 km3 km4 km-example-1
User Nahid Bin Azhar
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