question_answer

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\[100{{m}^{2}}\], the resulting box has maximum volume. The length of the longer side of the rectangular sheet (in m) is ________.

A)  24                               

B)  38

C)  45 

D)  48

E)  None of these