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03 Dec 2014, 08:15
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Tough and Tricky questions: Geometry.
A gardener increased the length of his rectangle-shaped garden by 40 percent and decreased its width by 20 percent. The area of the new garden
A) has increased by 20 percent
B) has increased by 12 percent
C) has increased by 8 percent
D) is exactly the same as the old area
E) cannot be expressed in percentage terms without actual numbers
Kudos for a correct solution.
Source: Chili Hot GMAT
03 Dec 2014, 09:24
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Bunuel
Tough and Tricky questions: Geometry.
A gardener increased the length of his rectangle-shaped garden by 40 percent and decreased its width by 20 percent. The area of the new garden
A) has increased by 20 percent
B) has increased by 12 percent
C) has increased by 8 percent
D) is exactly the same as the old area
E) cannot be expressed in percentage terms without actual numbers
Kudos for a correct solution.
Source: Chili Hot GMAT
The quickest way I found to do this problem was just to plug in some numbers and test. Taking a 10x2 rectangle of area 20, increasing the length 40% and decreasing the width 20% gives us a 14x1.6 rectangle with area 112. So the answer is (B) 12%.
03 Dec 2014, 12:24
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Let the original area be a=l*w (where l and w are the length and width of the original garden, respectively)
The new area is then a'=1.4*l*0.8*w = 1.12*l*w
The new area is 1.12 times the original area or an increase of 12%.
Choice B
The new area is then a'=1.4*l*0.8*w = 1.12*l*w
The new area is 1.12 times the original area or an increase of 12%.
Choice B
