Consider a rectangle of area one square metre. What is the relation between the length and the breadth of the rectangle in terms of proportion?

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No relation

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Directly proportional

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Inversely proportional

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Solution

The correct option is D
Inversely proportional

Given that the area of the rectangle is $1 m^{2}$ Let the length be equal to $x$ metres and the breadth $y$ metres.
We know that $Area = length \times breadth$ .
i.e. $1 = x y$
$⟹ y = \frac{1}{x}$
Hence for a given area, the length and the breadth are inversely proportional.

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Consider a rectangle of area one square metre. What is the relation between the length and the breadth of the rectangle in terms of proportion?

The correct option is D Inversely proportional Given that the area of the rectangle is 1m2 Let the length be equal to x metres and the breadth y metres. We know that Area=length×breadth. i.e. 1=xy ⟹y=1x Hence for a given area, the length and the breadth are inversely proportional.