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Question

# What is the area (in sq units) of the largest triangle, that can be fitted into a rectangle of length l units and width w units?

A
lw2
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B
lw3
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C
lw6
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D
lw4
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Solution

## The correct option is A lw2 Let ABCD be the rectangle of length l and width w. Now, we construct a triangle of maximum area inside it in all possible ways. ∵ We know that, Area of triangle =12×Base×Height So, for maximum area, base and height of maximum length is needed. Here, maximum base length = l and maximum height = w. ∴ Area (maximum) of triangle =12×l×w=l×w2sq units.

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