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19 May 2012, 08:53
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
49% (01:32) correct
51%
(01:37)
wrong
based on 166
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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 ?
A. 48
B. 55.25
C. 52.29
D. 44
E. 41.25
I tried considering larget posible sides as 8.44cm and 6.44cm but couldn't get the answer. What would be the correct measure of largest possible sides of rectangle in this case ?
A. 48
B. 55.25
C. 52.29
D. 44
E. 41.25
I tried considering larget posible sides as 8.44cm and 6.44cm but couldn't get the answer. What would be the correct measure of largest possible sides of rectangle in this case ?
20 May 2012, 12:30
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gmihir
Given: \(7.5<a<8.5\) and \(5.5<b<6.5\), where a and b are the sides of the rectangle.
So, the largest area the rectangle can possibly have is a bit less than \(8.5*6.5=55.25\). The correct answer would be the largest value among the options which is less than 55.25, so 52.29. For example the sides can be: 8.3 and 6.3 --> 8.3*6.3=52.29.
Answer: C.
Hope it's clear.
29 Dec 2013, 23:51
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"a" can be anywhere between 7.5 and 8.4 and "b" can be anywhere between 5.5 and 6.4.
Hence max area can be 8.4*6.4 eq 53.76.
largest value which is near to 53.76 is 52.29.
Hence C.
Hence max area can be 8.4*6.4 eq 53.76.
largest value which is near to 53.76 is 52.29.
Hence C.
