Perimeter and area of a rectangle is given.How to find the ratio between two sides of rectangle?

47 Views Asked by At

If the perimeter of a rectangle is $160$ meters and its area is $1200$ square meter, then one of its sides must be __________ the other side.

My approach to this question is:

$$x=\text{one side}$$

$$y=\text{other side}$$

$$x+y+x+y=160$$

$$x\times{y}=1200$$

$$2(x+y)=160$$

$$x=80-y$$

$$x\times{y}=1200$$

$$(80-y)\times{y}=1200$$

$$y^2+80y-1200=0$$

Am i going in right direction? If yes, then I stuck at this point. Any help will be highly appreciated.

Thanks and Regards

Sumaira