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largest possible value of actual area of rectangle ?

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largest possible value of actual area of rectangle ? [#permalink] New post 23 Jan 2011, 02:16
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Q) The sides of a rectangular region measured to the nearest centimeter are 8 cm and 6 cm.Out of the following which is the largest possible value of actual
area of rectangle ?


(Sorry I don't have the answer choices for the question above.)
Answer:- 52.29

Please explain...

Last edited by MichelleSavina on 23 Jan 2011, 06:31, edited 1 time in total.
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Re: largest possible value of actual area of rectangle ? [#permalink] New post 23 Jan 2011, 02:38
MichelleSavina wrote:
The sides of a rectangular region measured to the nearest centimeter are 8 cm and 6 cm. Out of the following which is the largest possible value of actual area of rectangle ?


Note that if the length of the sides of the rectangle are 8.5 cm and 6.5 cm, then their measurements to nearest centimeter will be 9 cm and 7 cm respectively. But if their actual measurements are just less than 8.5 cm and 6.5 cm (may be 8.49999... cm and 6.499999.. cm), then their measurements to nearest centimeter will be 8 cm and 6 cm respectively.

Thus, the largest possible value of actual area of rectangle is some value just less than (8.5)*(6.5) sq. cm = 55.25 sq. cm

Hence, the correct option is the largest one which is less than this value.
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Re: largest possible value of actual area of rectangle ?   [#permalink] 23 Jan 2011, 02:38
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