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CAT 2001 — QA Question 22

Basics of Mensuration/PrismEasy

Two sides of a plot measure 32 metres and 24 metres and the angle between them is a perfect right angle. The other two sides measure 25 metres each and the other three are not right angles.

What is the area of the plot?

Answer & solution

  • A

    768

  • B

    534

  • C

    696.5

  • 684

Solution

AC=242+232=40

Let us draw DE, which is perpendicular to AC.

Since ΔADC is isosceles, therefore DE will be its median and altitude both.

∴ DE = 252-202=15

∴ Required area = (12×24×32)+(12×40×15) = 384 + 300 = 684

Hence, option (d).

CAT 2001 QA Q22: Two sides of a plot measure 32 metres and 24 metres and the angle between them is a perfect right angle. The o — Solution | TheCATExam