   Chapter 8.2, Problem 39E ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
1 views

# 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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