Chapter 5.2, Problem 25E

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Chapter
Section

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

# Pentagon A B C D E ∼ pentagon G H J K L (not shown), A B = 6 , and G H = 9. If the perimeter of A B C D E is 50 , find the perimeter of G H J K L .

To determine

To calculate:

The perimeter of the GHJKL.

Explanation

Given:

Pentagon ABCDE~ pentagon GHJKL.

AB=6Â andÂ GH=9.

Perimeter of the pentagon is 50.

Definition Used:

Similarity between Two polygons:

Two polygons are similar if and only if when all pairs of corresponding angles are congruent and all pairs of corresponding sides are proportional.

Calculation:

First, we have to draw a pentagon ABCDEÂ andÂ GHJKL.

It is given that AB=6Â andÂ GH=9.

ABGH=69=23GH=32AB

According to the definition of similar polygons, ABGH=BCHJ=CDJK=DEKL=EALG.

So,

BCHJ=ABGH=23HJ=32BC

CDJK=ABGH=23JK=32CD

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

#### In Exercises 6372, evaluate the expression. 64. 4 + |4|

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

#### Prove the identity. 58. cos 3 = 4 cos3 3 cos

Single Variable Calculus: Early Transcendentals, Volume I

#### What is the value of (X + 1) for the following scores: 0, 1, 4, 2? a. 8 b. 9 c. 11 d. 16

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

#### In Problems 7-10, assume that f, g, and h are polynomials. 8. Does

Mathematical Applications for the Management, Life, and Social Sciences