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A, B, and C are three rectangles The length and width

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A, B, and C are three rectangles The length and width [#permalink] New post 24 Dec 2015, 07:25
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73% (01:05) correct 26% (02:42) wrong based on 38 sessions
A, B, and C are three rectangles. The length and width of rectangle A are 10 percent greater and 10 percent less, respectively, than the length and width of rectangle C. The length and width of rectangle B are 20 percent greater and 20 percent less, respectively, than the length and width of rectangle C.

Quantity A
Quantity B
The area of rectangle A
The area of rectangle B


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.


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Question: 4
Page: 156
Difficulty: hard
[Reveal] Spoiler: OA

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Re: A, B, and C are three rectangles The length and width [#permalink] New post 24 Dec 2015, 07:32
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Let the sides of rectangle C be 100 and 100.

Now from the description in the question we know that length of side A is 110 (10% more than C) and breadth of rectangle A is 90 (10% less than C). Thus Area of rectangle A is 9900.

Again from the description we have length of side B is 120 (20% more than C) and breadth of rectangle B is 80 (20% less than C).
Thus Area of rectangle C is 9600.

Clearly A is greater.
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Re: A, B, and C are three rectangles The length and width [#permalink] New post 15 Mar 2018, 16:51
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correct: A
A: Length_A = 1.1 * Length_C Width_A = 0.9 * Length_C
B: Length_B = 1.2 * Length_C Width_A = 0.8 * Length_C
C: Lenght_C Width_C

The area of rectangle A: Length_A * Width_A = 1.1 * Length_C * 0.9 * Length_C
The area of rectangle B: Length_B * Width_B = 1.2 * Length_C * 0.8 * Length_C
We compare 1.1 * 0.9 and 1.2* 0.8.
A is bigger.

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Re: A, B, and C are three rectangles The length and width   [#permalink] 15 Mar 2018, 16:51
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A, B, and C are three rectangles The length and width

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