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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. Then the lengths of the sides of the
rectangular sheet are
  • a)
    24
  • b)
    32
  • c)
    45
  • d)
    60
Correct answer is option 'A,C'. Can you explain this answer?
Verified Answer
A rectangular sheet of fixed perimeter with sides having their lengths...
Let the sides of rectangle be 15k and 8k and side of square be x then (15k – 2x)(8k – 2x)x is volume
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A rectangular sheet of fixed perimeter with sides having their lengths in the ratio 8 : 15 is converted into anopen rectangular box by folding after removing squares of equal area from all four corners. If the total areaof removed squares is 100, the resulting box has maximum volume. Then the lengths of the sides of therectangular sheet area)24b)32c)45d)60Correct answer is option 'A,C'. Can you explain this answer?
Question Description
A rectangular sheet of fixed perimeter with sides having their lengths in the ratio 8 : 15 is converted into anopen rectangular box by folding after removing squares of equal area from all four corners. If the total areaof removed squares is 100, the resulting box has maximum volume. Then the lengths of the sides of therectangular sheet area)24b)32c)45d)60Correct answer is option 'A,C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A rectangular sheet of fixed perimeter with sides having their lengths in the ratio 8 : 15 is converted into anopen rectangular box by folding after removing squares of equal area from all four corners. If the total areaof removed squares is 100, the resulting box has maximum volume. Then the lengths of the sides of therectangular sheet area)24b)32c)45d)60Correct answer is option 'A,C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A rectangular sheet of fixed perimeter with sides having their lengths in the ratio 8 : 15 is converted into anopen rectangular box by folding after removing squares of equal area from all four corners. If the total areaof removed squares is 100, the resulting box has maximum volume. Then the lengths of the sides of therectangular sheet area)24b)32c)45d)60Correct answer is option 'A,C'. Can you explain this answer?.
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