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Determine the area, to the nearest tenth, of the shaded region in the diagram provided.

Method 1: Subtraction of Non-Shaded Area

Method 2: Addition of Shaded Areas

Let S represent the shaded region in the diagram.
Let T represent the largest triangle in the diagram.

Let R represent the rectangle in diagram.

The area of shaded region can be found by taking the area of T and subtracting the area of the R.

Therefore formula for the area of the shaded region is:

The height of the T is 6 m + 7.5 m = 13.5 m

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Let S represent the shaded region in the diagram.
Let P represent the upper shaded triangle in the diagram.
Let Q represent the lower shaded triangle in the diagram.

The area of the shaded region can be found by taking the areas of P and Q and adding them together.

The base length of Q can be found by subtracting the base length of P from 13.5m:
13.5 m – 7.5 m = 6 m
(Note: P and Q are similar triangles, so this could also be used to find the length of the base of Q.)

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