The perimeter of a rectangular picture is $160$ cm. It is $30$ cm wide. How long is it?

5 \frac{1}{3}

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50

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100

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130

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Solution

The correct option is B $50$ cm
Perimeter $= 160$ cm
Breadth $= 30$ cm
$∴ 2 (L e n g t h + B r e a d t h) = 160$ cm
$\Rightarrow 2 (L e n g t h + 30 c m) = 160$ cm
$\Rightarrow$ Length $+ 30 c m = 80 c m$
$\Rightarrow$ Length $= (80 - 30) c m = 50$ cm.

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