   Chapter 8.2, Problem 14E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

In Exercises 13 to 18, find the area of the given polygon. To determine

To Find:

Area of the quadrilateral.

Explanation

Formula Used:

Split the quadrilateral into rectangle and triangle and find the corresponding areas and sum it up.

Area of rectangle =l×b

Area of right triangle =12×b×h

Calculation:

Let the vertices of the provided quadrilateral be A,B,C and D.

Let’s divide the quadrilateral into a rectangle and a triangle. Draw a perpendicular line from the point A to line CD and mark it as E.

Here ABCE forms a rectangle, the remaining AED forms the right triangle.

For the right triangle AED,

ED=CD-CE=CD-AB=20-12=8 m

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