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Find the area of the shaded region in the graph.

Find the area of the shaded region in the graph.

Short Answer

Expert verified

Area of the shaded region is 10.5 square units.

Step by step solution

01

Step 1. Determining the shape of the shaded region and area of shaded region

The shape of the shaded region is of trapezoidal shape

And, Area of trapezoid = 12h(b1+b2)

02

Step 2. Determining the height and parallel sides of trapezoid

The height of trapezoid, h=3and length of the parallel sides

b1=5And b2=2

03

Step 3. Evaluation of area of shaded region

A=12h(b1+b2)=123(5+2)=12×3×7=212=10.5

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