The sides of a rectangle are in the ratio of $6 : 5$ and its area is $750 m^{2} .$ Find the perimeter of rectangle (in $m$ ).

120

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110

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122

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Solution

The correct option is B
110

Let $6 x$ and $5 x$ be the sides of a rectangle.

$\Rightarrow 6 x \times 5 x = 750$

$\Rightarrow 30 x^{2} = 750$

$\Rightarrow x^{2} = \frac{750}{30} = 25$

$\Rightarrow x = 5$

$\Rightarrow Length = 6 x = 6 \times 5 = 30 m$

$B r e a d t h = 5 x = 5 \times 5 = 25 m$

$\Rightarrow Perimeter = 2 (l + b) = 2 (30 + 25) = 110 m$

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