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Application of Derivatives question

2013 · Shift 1 · Q32

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PYQ Library
JEE Advanced
Mathematics
Application of Derivatives
2013 · Shift 1 · Q32

Application of Derivatives question

2013 · Shift 1 · Q32

JEE AdvancedMathematicsApplication of DerivativesMultiple correct+4 / −1

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 vsides of the rectangular sheet are

A
$24$
B
$32$
C
$45$
D
$60$

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