Question

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

• A. 110

Answer 1

The correct option is A 110

Let 6x and 5x be the sides of a rectangle.
Given, area of the rectangle is 750 sq m.

$\Rightarrow length\times breadth=750$

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

$\Rightarrow 30x^2=750$

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

$\Rightarrow x=5$

So, length = 6x = 30 m

And breadth = 5x = 25 m

Therefore, perimeter of the rectangle
= 2(l + b)
= 2(30 + 25)
= 110m