# What is the ratio of Area (AGH) to CD for Rhombus ABCD

Rhombus ABCD below is divided into three areas with AGH = 1/3rd Area of ABCD, ECF = 1/5th Area of ABCD. What is the ratio of Area (AGH) to CD, given that AC=12 and BD =16? a) 10/3
b) 11/3
c) 13/3
d) 17/3
e) 19/3

Solution

To solve this question, you have to know the formula to find the area of a Rhombus.

The most common formulas and properties to remember in a Rhombus are

1) Area = base x altitude

2) Altitude
=
½ x sqrt (diagonal1^2 + diagonal2^2)

3) Area = (
diagonal1 X diagonal2)/2

4) All the sides are equal in a Rhombus

Next Steps

Draw an altitude AJ Area of Rhombus ABCD = AJ x AB

AGH = 1/3rd Area of ABCD, ECF = 1/5th Area of ABCD.

Let each side of the Rhombus be equal to “a”

Altitude = ½ x sqrt (diagonal1^2 + diagonal2^2)

AJ = ½ x sqrt(ac^2 + bd^2)

AJ = 20/2 = 10

Area AGH = 1/3 (Area of ABCD) = 1/3 (AJ x AB)

Since all the sides in a Rhombus are equal

AB = BC = CD = DA = a

Area AGH = 1/3 (AJ x a)

(Area AGH)/CD =1/3 x (AJ x a)/a

= AJ

= 10/3 1. Complete GMAT RC Questions in less than 1 minute and 50 seconds
3. Take Notes Effectively
4. Collect and Interpret Facts
5. Speed up Summary Creation
6. Remember Information
7. Question the Author

12. Learn to Answer GMAT organization of passage Question
13. Learn to identify the style/tone or attitude of the author

Mastering GMAT Critical Reasoning After you read F1GMAT’s Mastering GMAT Critical Reasoning Guide, you will learn:

How to overcome flawed thinking in GMAT Critical Reasoning?

How to spot Inconsistencies in Arguments

How to eliminate out of scope answer choices using Necessary and Sufficient Conditions

How to Paraphrase GMAT Critical Reasoning Question

How to Answer Assumption Question Type

How to Answer Conclusion Question Type

How to Answer Inference Question Type

How to Answer Strengthen Question Type

How to Answer Weaken Question Type

How to Answer bold-faced and Summary Question Types

How to Answer Parallel Reasoning Questions

How to Answer the Fill in the Blanks Question

Get F1GMAT's Newsletters (Best in the Industry)

• Ranking Analysis
• Post-MBA Salary Trends
• Post-MBA Job Function & Industry Analysis
• Post-MBA City Review
• MBA Application Essay Tips
• School Specific Essay Tips
• GMAT Preparation Tips