A rectangular sheet of fixed perimeter with sides having their lengths in the ratio \( 8: 15 \) ...

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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. The lengths of the sides of the rectangular sheet are [More than One Correct Option, 2013 Adv.]
(a) 24
(b) 32
(c) 45
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