   Chapter 4.CR, Problem 13CR 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

Review Exercises Given: ▱ A B C D C D = 2 x + 3 B C = 5 x - 4 Perimeter of ▱ A B C D = 96 cm Find: The lengths of the sides of ▱ A B C D To determine

To Find:

The side lengths of the provided parallelogram ABCD.

Explanation

Formula Used:

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

That is, Perimeter of the parallelogram P=2(l+b), where l is the length and b is the base of the parallelogram.

Calculation:

It is given that ABCD is a parallelogram with CD=2x+3 and BC=5x-4.

Also provided that the perimeter of the parallelogram ABCD,  P=96 cm.

In the parallelogram ABCD, AD is parallel to BC and AB is parallel to CD. That is, ADBC and ABCD. Also they are equal in measure. That is, AD=BC and AB=CD

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