ISEE Upper Level Quantitative : How to find the length of the side of a rhombus

Study concepts, example questions & explanations for ISEE Upper Level Quantitative

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Example Questions

Example Question #1 : How To Find The Length Of The Side Of A Rhombus

In Rhombus \displaystyle RHOM, \displaystyle RH = 7x and \displaystyle MR = 8y. Which is the greater quantity?

(A) \displaystyle x

(B) \displaystyle y

Possible Answers:

(a) is the greater quantity

It cannot be determined which of (a) and (b) is greater

(a) and (b) are equal

(b) is the greater quantity

Correct answer:

(a) is the greater quantity

Explanation:

The four sides of a rhombus, by defintion, have equal length, so

\displaystyle RH = MR

\displaystyle 7x= 8y

\displaystyle 7x\div 7 = 8y \div 7

\displaystyle x = \frac{8}{7}y

Since \displaystyle x and \displaystyle y are positive, \displaystyle x > y.

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