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Two children are given ropes of the same length. They both make geometric figures without any wastage of rope. One child makes an equilateral triangle while the other makes an isosceles right angled triangle. If the area of the isosceles right angled triangle is 8 cm2, what is the approximate length of rope per side that goes into making the equilateral triangle?
  • a)
    4.6 cm
  • b)
    4.4 cm
  • c)
    4.8 cm
  • d)
    4.7 cm 
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Two children are given ropes of the same length. They both make geomet...
Since the two children are given ropes of the same length, and there is no wastage in making the two figures, the two triangles have the same perimeter.
Let the congruent sides of the isosceles right triangle be x cm.
∴ Perimeter of isosceles right triangle = x + x + 
Also, area  of isosceles right triangle = 
∴ Perimeter of isosceles right triangle =  
This is the same as the perimeter of the equilateral triangle.
∴ Side of equilateral triangle = 
Hence, option 1.
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Two children are given ropes of the same length. They both make geometric figures without any wastage of rope. One child makes an equilateral triangle while the other makes an isosceles right angled triangle. If the area of the isosceles right angled triangle is 8 cm2, what is the approximate length of rope per side that goes into making the equilateral triangle?a)4.6 cmb)4.4 cmc)4.8 cmd)4.7 cmCorrect answer is option 'A'. Can you explain this answer?
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Two children are given ropes of the same length. They both make geometric figures without any wastage of rope. One child makes an equilateral triangle while the other makes an isosceles right angled triangle. If the area of the isosceles right angled triangle is 8 cm2, what is the approximate length of rope per side that goes into making the equilateral triangle?a)4.6 cmb)4.4 cmc)4.8 cmd)4.7 cmCorrect answer is option 'A'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Two children are given ropes of the same length. They both make geometric figures without any wastage of rope. One child makes an equilateral triangle while the other makes an isosceles right angled triangle. If the area of the isosceles right angled triangle is 8 cm2, what is the approximate length of rope per side that goes into making the equilateral triangle?a)4.6 cmb)4.4 cmc)4.8 cmd)4.7 cmCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two children are given ropes of the same length. They both make geometric figures without any wastage of rope. One child makes an equilateral triangle while the other makes an isosceles right angled triangle. If the area of the isosceles right angled triangle is 8 cm2, what is the approximate length of rope per side that goes into making the equilateral triangle?a)4.6 cmb)4.4 cmc)4.8 cmd)4.7 cmCorrect answer is option 'A'. Can you explain this answer?.
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