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The figure below has been obtained by folding a rectangle. The total area of the figure (as visible) is 144 square meters. Had the rectangle not been folded, the current overlapping part would have been a square. What would have been the total area of the original unfolded rectangle?
  • a)
    128 square meters
  • b)
    154 square meters
  • c)
    162 square meters
  • d)
    172 square meters
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The figure below has been obtained by folding a rectangle. The total ...
Folded part as shown in the first figure is a right angled triangle.
The two perpendicular sides of the right triangle measure 6m each. So, the triangle is a right isosceles triangle.
When unfolded the folded area becomes a square as shown in the following figure.
The side of the square will be the width of the larger rectangle and is therefore, 6m.
Area of the square = 6 * 6 = 36 sq.m
When folded, only the area of the right triangle gets counted. However, when unfolded the area of square gets counted.
The square comprises of two congruent right triangles.
In essence, when folded only half a square is counted. When unfolded the entire square gets counted.
The area of the rectangle when unfolded = area of the rectangle when folded + area of half a square.
So area after unfolding = 144 + 18 = 162 sq.m.
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The figure below has been obtained by folding a rectangle. The total area of the figure (as visible) is 144 square meters. Had the rectangle not been folded, the current overlapping part would have been a square. What would have been the total area of the original unfolded rectangle?a)128 square metersb)154 square metersc)162 square metersd)172 square metersCorrect answer is option 'C'. Can you explain this answer?
Question Description
The figure below has been obtained by folding a rectangle. The total area of the figure (as visible) is 144 square meters. Had the rectangle not been folded, the current overlapping part would have been a square. What would have been the total area of the original unfolded rectangle?a)128 square metersb)154 square metersc)162 square metersd)172 square metersCorrect answer is option 'C'. 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 The figure below has been obtained by folding a rectangle. The total area of the figure (as visible) is 144 square meters. Had the rectangle not been folded, the current overlapping part would have been a square. What would have been the total area of the original unfolded rectangle?a)128 square metersb)154 square metersc)162 square metersd)172 square metersCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The figure below has been obtained by folding a rectangle. The total area of the figure (as visible) is 144 square meters. Had the rectangle not been folded, the current overlapping part would have been a square. What would have been the total area of the original unfolded rectangle?a)128 square metersb)154 square metersc)162 square metersd)172 square metersCorrect answer is option 'C'. Can you explain this answer?.
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