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A farmer plans to grow soybeans on a square patch of land of
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Updated on: 12 Feb 2020, 00:25
Updated on: 12 Feb 2020, 00:25
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85% (01:22) correct
14% (02:02) wrong based on 62 sessions
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A farmer plans to grow soybeans on a square patch of land of x square feet. Realizing that the output will not be what was anticipated, the farmer decides to increase two opposite sides of the field by 30%. At this point, the farmer realizes that the land is larger than anticipated and decreases the smallest two sides by 10%. What is the resulting area of this new land in terms of x?
A. \(1.1x\)
B. \(1.17x\)
C. \(1.2x\)
D. \(1.28x\)
E. \(1.43x\)
A. \(1.1x\)
B. \(1.17x\)
C. \(1.2x\)
D. \(1.28x\)
E. \(1.43x\)
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Re: A farmer plans to grow soybeans on a square patch of land of
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11 Feb 2020, 23:35
11 Feb 2020, 23:35
2
huda wrote:
A farmer plans to grow soybeans on a square patch of land of x square feet. Realizing that the output will not be what was anticipated, the farmer decides to increase two opposite sides of the field by 30%. At this point, the farmer realizes that the land is larger than anticipated and decreases the smallest two sides by 10%. What is the resulting area of this new land in terms of x?
A. \(1.1x\)
B. \(1.17x\)
C. \(1.2x\)
D. \(1.28x\)
E. \(1.43x\)
A. \(1.1x\)
B. \(1.17x\)
C. \(1.2x\)
D. \(1.28x\)
E. \(1.43x\)
Show: ::
LATER
Initial area = x square feet
Length increases by 30%, hence area would also increase by 30% (width unchanged)
=> New area = 1.3x
Width decreases by 10%, hence area will decrease by 10% (length unchanged)
=> New area = 0.9 * 1.3 x = 1.17x
Answer B
Alternate:
Since area = length * width
We can use successive percent change to determine percent change in area
=> Percent change in area = 30 + (-10) + 30*(-10)/100 = 17%
> New area = 117% of initial area = 1.17x
Answer B
Re: A farmer plans to grow soybeans on a square patch of land of
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18 Apr 2020, 09:33
18 Apr 2020, 09:33
1
Let side wasx= 100.
after increase of 30%=130
after decrease we get value
130*90/100= 117
117/100=1.17
after increase of 30%=130
after decrease we get value
130*90/100= 117
117/100=1.17
