   Chapter 11.4, 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 15 and 16, find the area of the given figure. Give the answer to the nearest tenth of a square unit. Rhombus MNPQ

To determine

To find:

The area of the given figure.

Explanation

Approach:

Finding the area of the figure is followed by identifying the figure and find area with the suitable geometry formulae.

Calculation:

Given,

The area of the given figure (A)= The area of the triangle The area of the triangle Δ NPO(A2).

The area of the Δ MNO(A1):

The area of triangle ΔMNO(A1)=12bcsinα unit2.

=12(6)(6)sin25

=12(36)sin25

=(18)sin25

=(18)(0.42)

=7.56

A17.6ft2

The area of the triangle ΔNPO(A2):

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