Question

the perimeter of a rectangle is 192 ft. the ratio of its length to its width is 7:5 what are dimensions of the rectangle?

Answer 1

Answer: Hence the dimensions are 56 ft and 40 ft.

Explanation:

Alright, lets get started.

The ratio of sides of rectangle is given as 7:5.

It means, the length of rectangle is :
`7x`

It means, the width of rectangle is :
`5x`

So the perimeter of rectangle will be :
`2(length + width)`

Plugging the value of sides length and width,

the perimeter of rectangle will be :
`2*(7x+5x)`

the perimeter of rectangle will be :
`2* 12x`

the perimeter of rectangle will be :
`24x`

As per question, the given perimeter is 192, so

`24x=192`

Dividing 24 in both sides,

`x=(192)/(24)`

`x=8`

Hence the length of rectangle will be :
`7* 8 =56`

Hence the width of rectangle will be :
`5* 8 =40`

Hence the dimensions are 56 ft and 40 ft. : Answer

Hope it will help :)