Question

Hi! I was wondering the area of just the shaded region. I was having a hard time doing this. Thanks!

Answer 1

To find the area of the shaded region, we have to subtract the area of the parallelogram and the area of the rectangle. Let's find the area of each figure.

`A_{\text{parallelogram}}=bh`

The base of the parallelogram is 4m and the height is 6m.

`A_{\text{parallelogram}}=4m\cdot6m=24m^2`

Now let's find the area of the rectangle.

`A_{\text{rectangle}}=bh`

The base of the rectangle is 3m and the height is 2m.

`A_{\text{rectangle}}=3m\cdot2m=6m^2`

Once we have the area of each figure, let's subtract.

`\begin{gathered} A_{\text{shaded}}=A_{\text{parallelogram}}-A_{\text{rectangle}} \\ A_{\text{shaded}}=24m^2-6m^2=18m^2 \end{gathered}`

Therefore, the area of the shaded region is 18 m^2.