   Chapter 8.3, Problem 31E 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

Find the shaded area if thea) triangles are equilateralb) figures are squares To determine

a)

To find:

The area of the shaded portion.

Explanation

The area of the equilateral triangle is given by, A=34s2 where s is side of the equilateral triangle.

Calculation:

It is given that the sides of the larger and smaller equilateral triangle are 2s and s respectively.

The area of shaded portion is given by

Area of larger equilateral triangle – Area of smaller equilateral triangle

=34(2s)234(s)2=34(4s2)3

To determine

b)

To find:

The area of the shaded portion.

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