   Chapter 8.2, Problem 15E 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 rhombus.

Explanation

Formula Used:

The area A of a rhombus whose diagonals has lengths d1 and d2 is given by A=12d1d2.

Diagonals of a rhombus are perpendicular bisector of each other.

Calculation:

It is given that AB¯=BC¯. Let the diagonals meet at O.

Also given that BO=5 and AO=8.

In rhombus, opposite sides are parallel and all sides are in equal length.

Therefore, AO=OC=8 and BO=OD=5

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