Question

Where can I calculate the shaded area of this diagram?

Answer 1

We are asked to find the area of the shaded region.

Notice that the overall figure is a rectangle and the missing area is a triangle.

The area of the rectangle is given by

$A_{\text{rect}}=w\cdot l$

Where w is the width and l is the length of the rectangle.

width = 7 m

length = 16 m

$A_{\text{rect}}=w\cdot l=7\cdot16=112\; \; m^2$

So, the area of the rectangle is 112 m²

The area of the triangle is given by

$A_{\text{tri}}=\frac{1}{2}\cdot b\cdot h$

Where b is the base and h is the height of the triangle.

base = 7 m

height = 8 m

$A_{\text{tri}}=\frac{1}{2}\cdot b\cdot h=\frac{1}{2}\cdot7\cdot8=28\; \; m^2$

So, the area of the triangle is 28 m²

The area of the shaded region can be found by subtracting the area of the triangle from the area of the rectangle.

$\begin{gathered} A=A_{\text{rect}}-A_{\text{tri}} \\ A=112-28 \\ A=84\; \; m^2 \end{gathered}$

Therefore, the area of the shaded region is 84 m²