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01 Jul 2020, 01:33
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
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Question Stats:
74% (01:52) correct
26%
(02:43)
wrong
based on 96
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[GMAT math practice question]
A triangle has a base length of \(14 cm\) and a height of \(10 cm.\) The base length increases by \(10\%\), and the height decreases by \(10\%. \) What will the area of the triangle be?
A. Increases by \(0.5 cm^2\)
B. Decreases by \(0.7 cm^2 \)
C. Increases by \(0.9 cm^2\)
D. Decreases by \(0.3 cm^2\)
E. Decreases by \(0.5 cm^2\)
A triangle has a base length of \(14 cm\) and a height of \(10 cm.\) The base length increases by \(10\%\), and the height decreases by \(10\%. \) What will the area of the triangle be?
A. Increases by \(0.5 cm^2\)
B. Decreases by \(0.7 cm^2 \)
C. Increases by \(0.9 cm^2\)
D. Decreases by \(0.3 cm^2\)
E. Decreases by \(0.5 cm^2\)
yashikaaggarwal
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01 Jul 2020, 01:49
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Area of original triangle = 1/2*base*height
=> 1/2*14*10
=> 70
Now, the base length increases by 10% and height decreases by 10%
New height = 10*90/100 = 9
and base = 14*110/100 = 15.4
Area of new triangle= 1/2*15.4*9 = 69.3
The new triangle length is decreasing by 0.7 points.
MathRevolution I think B option has Decreasing by 0.7 instead of increasing. Kindly check.
Posted from my mobile device
=> 1/2*14*10
=> 70
Now, the base length increases by 10% and height decreases by 10%
New height = 10*90/100 = 9
and base = 14*110/100 = 15.4
Area of new triangle= 1/2*15.4*9 = 69.3
The new triangle length is decreasing by 0.7 points.
MathRevolution I think B option has Decreasing by 0.7 instead of increasing. Kindly check.
Posted from my mobile device
01 Jul 2020, 02:00
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given : base of triangle 14 cm and height of triangle 10 cm
thus area = 1/2*14*10=70 cm^2
now base increase by 10% which is 15.4 cm and height decrease by 10% which is 9 cm
so new area will be 1/2* 15.4*9 = 69.30c m^2
70-69.30=0.70 cm^2
don't care about increase decrease because only one option has 0.07 in it
ANS:B
thus area = 1/2*14*10=70 cm^2
now base increase by 10% which is 15.4 cm and height decrease by 10% which is 9 cm
so new area will be 1/2* 15.4*9 = 69.30c m^2
70-69.30=0.70 cm^2
don't care about increase decrease because only one option has 0.07 in it
ANS:B
