Chapter 8.CR, Problem 8CR

### 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

# Find the area and the perimeter of a rhombus whose diagonals have lengths 18 in. and 24 in.

To determine

To find:

The area and perimeter of the rhombus.

Explanation

The area A of a rhombus whose diagonals have lengths d1Â andÂ d2 is given by

A=12d1d2

In the case of a rhombus, all four sides are the same length by definition, so the perimeter is four times the length of a side. Or as a formula:

Perimeter = 4S, where S is the length of any one side.

Calculation:

Given: A rhombus whose diagonals have lengths 18 in. and 24 in.

Let ABCD be a rhombus whose diagonals AC = 18 in and BD = 24 in.

To find the length of side of the rhombus:

In the above picture, you can see a rhombus with its diagonals bisecting themselves. â–³ADE has a right angle.

Using Pythagorean Theorem, you calculate the side of rhombus AD like this:

Where AC and BD are length of the diagonals.

### 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

#### Simplify the expressions in Exercises 97106. x3/2x5/2

Finite Mathematics and Applied Calculus (MindTap Course List)

#### Sketch the set of all points (x, y) such that |x + y| ex.

Single Variable Calculus: Early Transcendentals, Volume I

#### In Exercises 99-106, factor out the greatest common factor from each expression. 99. 4x5 2x4 6x3

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

#### (f(x)g(x)) = f(x)g(x).

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th