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Where can I calculate the shaded area of this diagram?

Where can I calculate the shaded area of this diagram?-example-1
User Catquas
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1 Answer

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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}}=(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}}=(1)/(2)\cdot b\cdot h=(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

User Sergey Podobry
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