   Chapter 8.2, Problem 4E 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 1 to 8, find the perimeter of each polygon To determine

To Find:

Perimeter of the rectangle provided.

Explanation

Formula Used:

The perimeter of a polygon is the sum of the lengths of all sides of the polygon.

Pythagorean theorem for the right angle triangle ABC for the hypotenuse AC,

AC2=AB2+BC2.

Perimeter of the rectangle =2(l+b).

Calculation:

It is given that the rectangle ABCD lies on the circle with radius OC=5.

Let the inner rectangle be EOFD with one of the side length 4 and diagonal 5.

Consider the right angle triangle OFC for the hypotenuse OC.

OC2=OF2+FC2

FC2=O

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