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The height of a triangle increases by 40% while the base decreases by
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18 Mar 2022, 02:00
18 Mar 2022, 02:00
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Question Stats:
77% (01:08) correct
22% (02:29) wrong based on 18 sessions
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The height of a triangle increases by 40% while the base decreases by 30%. By what percentage has the area of the triangle changed?
–10%
–2%
0
5%
10%
Great Opportunity To Earn Kudos!!!
GRE Quantitative Reasoning Daily Challenge - (2022) EDITION
–10%
–2%
0
5%
10%
Great Opportunity To Earn Kudos!!!
GRE Quantitative Reasoning Daily Challenge - (2022) EDITION
Re: The height of a triangle increases by 40% while the base decreases by
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18 Mar 2022, 10:51
18 Mar 2022, 10:51
1
Let height be x and base be y, so area of original triangle is xy/2
New height = 1.4x and new base = 0.7y, so area of new triangle = 1/2 * 1.4x * 0.7y = 0.98xy/2
i.e. -2% decrease in the original area, hence option B is correct
New height = 1.4x and new base = 0.7y, so area of new triangle = 1/2 * 1.4x * 0.7y = 0.98xy/2
i.e. -2% decrease in the original area, hence option B is correct
gmatclubot
Re: The height of a triangle increases by 40% while the base decreases by [#permalink]
18 Mar 2022, 10:51
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