Question

How do I calculate the shaded area of this shape ?

Answer 1

SOLUTION:

We are to calculate the shaded area of the given shape.

CONCEPT:

This is a triangle that a rectangle was cut out from.

To calculate the shaded area of the given shape, we are to find the area of the triangle and then subtract the area of the recangle that was cut out.

$\begin{gathered} \text{Area of Triangle:} \\ A\text{ = }\frac{1}{2}\text{ base }\times\text{ height} \\ \\ A\text{ = }\frac{1}{2}\text{ }\times\text{ 6m }\times7m\text{ } \\ \\ A=21m^2 \end{gathered}$$\begin{gathered} \text{Area of Rectangle:} \\ A=L\text{ }\times\text{ W } \\ A\text{ = 4m }\times\text{ 2m} \\ A=8m^2 \end{gathered}$

The shaded area = Area of the triangle - Area of the rectangle

$\begin{gathered} \text{Shaded area = 21 m}^2-8m^2 \\ \text{Shaded area = 13 m}^2 \end{gathered}$