Question

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

• A. 120
• B. 110
• C. 122
• D. None of these

Answer 1

The correct option is B

110

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

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

$\Rightarrow 30x^2=750$

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

$\Rightarrow x=5$

$\Rightarrow \text{Length}=6x=6\times 5=30m$

$Breadth=5x=5\times 5=25m$

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