Tillable Area

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Tillable Area

by neeti2711 » Mon Dec 10, 2012 3:04 am
A farmer has a field that measures 1000 ft wide by 2000 ft long. There is an untillable strip 20 ft wide on the inside edge of the field, and a 30 ft wide untillable strip bisects the field into two squares (approximate). Approximately what percentage of the field is tillable?

A) 98%

B) 93%

C) 91%

D) 90%

E) 88%
Source: — Problem Solving |

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by puneetkhurana2000 » Mon Dec 10, 2012 11:13 am
The answer should be B

After accommodating for 20 ft wide strip the dimensions are 960 X 1960.

As the 30 ft wide strip divides the field in two squares, their dimensions should be 960 X 965.

965 = 1960/2 - 15 = 980 -15

So the required answer is 2x960x965x100/2000x1000 = 92.64%

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by puneetkhurana2000 » Tue Dec 11, 2012 8:14 am
Hi,

Can somebody please verify the answer to this question?

Thanks.