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 : [tex]7x[/tex]
It means, the width of rectangle is : [tex]5x[/tex]
So the perimeter of rectangle will be : [tex]2(length + width)[/tex]
Plugging the value of sides length and width,
the perimeter of rectangle will be : [tex]2\times(7x+5x)[/tex]
the perimeter of rectangle will be : [tex]2\times 12x[/tex]
the perimeter of rectangle will be : [tex]24x[/tex]
As per question, the given perimeter is 192, so
[tex]24x=192[/tex]
Dividing 24 in both sides,
[tex]x=\frac{192}{24}[/tex]
[tex]x=8[/tex]
Hence the length of rectangle will be : [tex]7\times 8 =56[/tex]
Hence the width of rectangle will be : [tex]5\times 8 =40[/tex]
Hence the dimensions are 56 ft and 40 ft. : Answer
Hope it will help :)
