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.

Step-by-step 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 : $2\times(7x+5x)$

the perimeter of rectangle will be : $2\times 12x$

the perimeter of rectangle will be : $24x$

As per question, the given perimeter is 192, so

$24x=192$

Dividing 24 in both sides,

$x=\frac{192}{24}$

$x=8$

Hence the length of rectangle will be : $7\times 8 =56$

Hence the width of rectangle will be : $5\times 8 =40$

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

Hope it will help :)