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10 Mar 2017, 23:07
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If the altitude of a triangle increases by 6% and the base of the triangle increases by 8%, by what percent will the area of the triangle increase?
A) 6%
B) 8%
C) 7.24%
D) 14.48%
E) 48%
A) 6%
B) 8%
C) 7.24%
D) 14.48%
E) 48%
0akshay0
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Schools: Jindal '20 Kelley '20 Broad '20 Carey '20 Mays '20
GMAT 1: 570 Q48 V22
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Schools: Jindal '20 Kelley '20 Broad '20 Carey '20 Mays '20
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10 Mar 2017, 23:15
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HKD1710
If the altitude of a triangle increases by 6% and the base of the triangle increases by 8%, by what percent will the area of the triangle increase?
A) 6%
B) 8%
C) 7.24%
D) 14.48%
E) 48%
A) 6%
B) 8%
C) 7.24%
D) 14.48%
E) 48%
b --- base
h----- height
original area =bh/2
altitude of a triangle increases by 6% and the base of the triangle increases by 8%
b1 ---- new base
h1 ---- new height
new area = (b1*h1)/2 = (b*1.08*h*1.06)/2 = (bh/2)*(1.06*1.08) = original area * 1.1448
therefore the area of the triangle increases by 14.48 %
Hence option D is correct
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General Discussion
PIIIMA
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10 Mar 2017, 23:20
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HKD1710
If the altitude of a triangle increases by 6% and the base of the triangle increases by 8%, by what percent will the area of the triangle increase?
A) 6%
B) 8%
C) 7.24%
D) 14.48%
E) 48%
A) 6%
B) 8%
C) 7.24%
D) 14.48%
E) 48%
Let's assume base 100 and height 100
So, area will be 0.5 * 100 * 100 ---(1)
Now with 6% increase in height and 8 % in base
New area 0.5* (100+6)*(100+8)=(100*100+100*8+100*6+6*8) ---(2)
percentage increase = (2)-(1)/(1) *100 = (100*8+100*6+6*8) *100 /(100*100) =14.48%
In general if the is x% increase in a and y % increase in b then overall % increase in ab will be (x+y+(xy)/100)
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