JEE Advanced 2013 Mathematics question
A rectangular sheet of fixed perimeter with sides having their lengths in the ratio 8 : 15 is converted into an open rectangular box by folding after removing squares of equal area from all four corners. If the total area of removed squares is 100, the resulting box has maximum volume. Then the lengths of the sides of the rectangular sheet are
Answer: (A),(C)
Solution
Let the sides be 8k and 15k and the squares have side x. . Volume . For a maximum at x = 5: 120k^2$ = 0
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