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,

$A_1=\text{length}\times width$

where,

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

Therefore,

$\begin{gathered} A_1=32\times26=832cm^2 \\ \therefore A_1=832cm^2 \end{gathered}$

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

$A_2=\frac{1}{2}\text{base}\times height$

where,

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

Therefore,

$\begin{gathered} A_2=\frac{1}{2}\times32\times26=416cm^2 \\ \therefore A_2=416cm^2 \end{gathered}$

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

$416cm^2$