   Chapter 5.4, Problem 38E 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

When the rectangle in the accompanying drawing (whose dimensions are 16 by 9) is cut into pieces and rearranged, a square can be formed. What is the perimeter of this square? To determine

To Find:

The perimeter of square, .

Explanation

Given the rectangle in the accompanying drawing (whose dimensions are 16 by 9) is cut into pieces and rearranged, a square can be formed.

The given figure,

From the figure, ΔAEF and ΔABG are right triangle with right angle E and B.

From ΔAEF is right angle with hypotenuse AF,

AF2=AE2+EF252=AE2+3225=AE2+9AE2=259AE2=16AE=16AE=4

Then the length of side ED is,

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