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XAT 2015 — QA & DI Question 4

Basics of Mensuration/PrismEasy

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?

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Answer & solution

  • A

    128 square meters

  • B

    154 square meters

  • 162 square meters

  • D

    172 square meters

  • E

    None of the above

Solution

Had the rectangle not been folded, the overlapping part would have been a square of side 6.

While unfolding, the increase in area

= Area of the triangle =  12×6×6=18

Area of the given figure = 144 square meters
∴ Area of unfolded rectangle = 144 + 18 = 162 square meters
Hence, option (c).

XAT 2015 QA & DI Q4: The figure below has been obtained by folding a rectangle. The total area of the figure (as visible) is 144 sq — Solution | TheCATExam