Question

Calculate the area of each shaded part. round your answer to the nearest tenth.

Answer 1

We are to find the area of the shaded portion.

Let us calculate first the area (A1) of the rectangle

The formula for the area of the rectangle is,

`A_1=\text{length}* width`

where,

`\begin{gathered} \text{length}=32cm \\ \text{width}=26cm \end{gathered}`

Therefore,

`\begin{gathered} A_1=32*26=832cm^2 \\ \therefore A_1=832cm^2 \end{gathered}`

Hence, the area of the rectangle is

`832cm^2`

Let us now resolve for the area(A2) of the triangle.

The formula for the area of triangle is

`A_2=(1)/(2)\text{base}* height`

where,

`\begin{gathered} \text{base}=32cm \\ \text{height}=26cm \end{gathered}`

Therefore,

`\begin{gathered} A_2=(1)/(2)*32*26=416cm^2 \\ \therefore A_2=416cm^2 \end{gathered}`

Hence, the area of the triangle is

`416cm^2`

Finally, the area(A) of the shaded part is

`A=A_2-A_1`

Therefore,

`A=832-416=416cm^2`

Hence, the area of the shaded part is

`416cm^2`