The rectangle A has a by b and another rectangle B has c by d. If a/c=

Question

The rectangle A has a(width) and b(height) and another rectangle B has c(width) and d(height). If a/c=b/d=3/2, what is the ratio of the rectangle A’s area to the rectangle B’s?

A. 3/2 
B. 3/4 
C. 9/2 
D. 9/4 
E. 27/8

* A solution will be posted in two days.

chetan2u · Answer

Hi,
 I am sure by 'The rectangle A has a by b ', you mean rectangle has sides a and b.. 
the ratio of legth and breadth of both the rectangles is 3/2..
so the area will be in the ratio  \frac{3^2}{2^2}=\frac{9}{4} 
D

GMATinsight · Answer

"The rectangle A has a by b and another rectangle B has c by d"
I find it NON-GMAT LANGUAGE 
 
a/c=b/d=3/2

i.e. a/b = c/d i.e. the two rectangles are similar rectangles

Ratio of Areas = Square of ratio of their corresponding sides

i.e. Ratio of Areas of Rectangle A and B = (a/c)^2 = (3/2)^2 = 9/4

ANswer: Option D

stonecold · Answer

Quick Question sir ..
Does a by b means length =a and breadth =b
if so the answer is D

MathRevolution · Answer

Sorry about the mistake. I have revised the question.

MathRevolution · Answer

The rectangle A has a(width) and b(height) and another rectangle B has c(width) and d(height). If a/c=b/d=3/2, what is the ratio of the rectangle A’s area to the rectangle B’s?

A. 3/2 
B. 3/4 
C. 9/2 
D. 9/4 
E. 27/8

-> a=3k, c=2, and b=3m, d=2m
Then, the ratio of the area is (3k)(3m):(2k)(2m)=9km:4km=9:4=9/4
Hence, the answer is D.

ScottTargetTestPrep · Answer

We can let a = b = 12.

We can let c = d = 8.

The area of rectangle A is 12 x 12 = 144.

The area of rectangle B is 8 x 8 = 64.

The ratio of the area of rectangle A to that of rectangle B is:

144/64 = 18/8 = 9/4

Answer: D

The rectangle A has a by b and another rectangle B has c by d. If a/c=

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Problem Solving (PS) Questions

The rectangle A has a by b and another rectangle B has c by d. If a/c=

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards