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The length and width of a painted rectangle were each increa

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GMAT Club Legend
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Joined: 07 Jun 2014
Posts: 4710
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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Kudos [?]: 1612 [0], given: 375

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The length and width of a painted rectangle were each increa [#permalink] New post 10 Jun 2018, 05:15
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Question Stats:

85% (00:43) correct 14% (00:53) wrong based on 14 sessions
The length and width of a painted rectangle were each increased by 10%.

Quantity A
Quantity B
The percent increase in the area of the painted rectangle
10%


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.
[Reveal] Spoiler: OA

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Sandy
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GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4710
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 91

Kudos [?]: 1612 [0], given: 375

CAT Tests
Re: The length and width of a painted rectangle were each increa [#permalink] New post 14 Jul 2018, 04:39
Expert's post
Explanation

Choose smart numbers for the dimensions of the rectangle—for instance, length = 20 and width = 10.

The original area of the rectangle = length × width = 200. After a 10% increase for both the length and the width, the area becomes 22 × 11 = 242.

Use the formula for percent change:

Percent Change =\(\frac{Difference}{Original} \times 100\%\)=\(\frac{242-200}{200} \times 100\%=21\%\)

Quantity A is greater.

Alternatively, use logic. The formula for area requires multiplying the length and the width. If just one side is increased by 10%, then the overall area will increase by 10%. If two sides are increased by 10%, then the overall area will increase by more than 10%.
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Sandy
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Re: The length and width of a painted rectangle were each increa   [#permalink] 14 Jul 2018, 04:39
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