The length of a rectangular field is thrice its breadth. Its perimeter is $400$ metres. Find its length and breadth.

250 m

and

50 m

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150 m

and

40 m

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100 m

and

50 m

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150 m

and

50 m

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Solution

The correct option is D $150 m$ and $50 m$
Breadth $= x$

Length $= 3 x$

Perimeter $= 2 (l e n g t h + b r e a d t h)$

Perimeter $\Rightarrow 2 (x + 3 x) = 400$

$\Rightarrow 2 (4 x) = 400$

$\Rightarrow x = 50$

Length $= 3 x = 150 m$

Breadth $= x = 50 m$

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