Geometric Questions Answers

Mensuration - Quant/Math - CAT 2008

Question 4 the day: August 16, 2002
The question for the day is from the topic - Mensuration.

What is the area of the largest triangle that can be fitted into a rectangle of length 'l' units and width 'w' units?

(1)

lw/3

(2)

(2lw)/3

(3)

(3lw)/4

(4)

(lw)/2

Correct Answer - (4)

 

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Solution:

The triangle which has its base as the length of the rectangle and its height as the width of the rectangle or the triangle which has its base as the width of the rectangle and its height as the length of the rectangle will be the largest triangle that can be fitted in the rectangle.

If the base of the triangle is 'l' and its height 'w', then its area is  lw/2 units.
Similarly, if the base of the triangle is 'w' units and its height is 'l' units, then its area is lw/2 units.