   Chapter 8.2, Problem 39E 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

Square R S T V is inscribed in square W X Y Z , as shown. If Z T = 5 and T Y = 12 , finda) the perimeter of R S T V b) the area of R S T V Exercises 39, 40

To determine

(a)

To find:

The perimeter of the square.

Explanation

Formula Used:

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

For quadrilateral, P=2(b+h), where b is the base and h is the altitude of the quadrilateral.

Calculation:

It is given that the square RSTV is inscribed in square WXYZ with ZT=5 and TY=12.

The side ZY is split into ZT and TY with dimension 5 and 12 respectively.

As WXYZ is a square, each side of RSTV can also be split into two parts. That is, 5 and 12 respectively. Therefore, ZT=YS=XR=WV=5 and TY=SX=RW=VZ=12

To determine

(b)

To find:

The area of the square.

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