menu
Hit Return to see all results
Chapter 8.1, Problem 4E
BuyFindarrow_forward

Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section
BuyFindarrow_forward

Elementary Geometry For College St...

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

If MNPQ is a rhombus, which formula from this section should be used to calculate its area?Exercise 4–6

To determine

To Calculate:

The area of a rhombus MNPQ.

Explanation

Calculation:

Given,

If MNPQ is a rhombus,

Rhombus has four equal sides and its diagonals bisect each other at right angles.

Here,

The rhombus of diagonal d1=MP

The rhombus of diagonal d2=NQ

From the diagram,

Here, ON=OQ=d22 and OP=OM=d12

Î”NOM,Î”PON,Î”QONÂ andÂ Î”MOQ are the right triangles in the rhombus.

Thus, the area of rhombus is equal to the sum of the area of right triangle Î”NOM(A1),Î”PON(A2),Î”QON(A3)Â andÂ Î”MOQ(A4)

The area of rhombus (A)=A1+A2+A3+A4

For the right Î”NOM,

The area of the right Î”NOM(A1)=12abÂ unit2

Here, ON=a=d22Â andÂ OM=b=d12

A1=12â‹…d22â‹…d12

=d2d18

A1=d1d28

For the right Î”PON,

Area of the right Î”PON(A2)=12ab

Here, ON=a=d22Â andÂ OP=b=d12

A2=12â‹…d22â‹…d12

A2=d2d18

A2=d1d2

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

Additional Math Solutions

Find more solutions based on key concepts

Show solutions add

Find the critical numbers of the function. f(x) = x2e3x

Single Variable Calculus: Early Transcendentals

01e2xdx= a) 2e2 1 b) `e2 1 c) 12e2 d) 12(e21)

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

True or False: is a convergent series.

Study Guide for Stewart's Multivariable Calculus, 8th