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Geometry

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by theachiever » Fri Dec 14, 2012 6:14 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. In addition, there is 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%
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Source: — Problem Solving |

by Anindya Madhudor » Fri Dec 14, 2012 7:17 am
Tillable area = (1000-40)* (2000-40) - (1000-40)*30
=960 * 1930
= 1,852,800

Tillable area percentage = 1,852,800/ (1000 * 2000)= 92.6%, round it to 93%
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