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](https://tex.z-dn.net/?f=7x)
It means, the width of rectangle is : ![5x](https://tex.z-dn.net/?f=5x)
So the perimeter of rectangle will be : ![2(length + width)](https://tex.z-dn.net/?f=2%28length%20%2B%20width%29)
Plugging the value of sides length and width,
the perimeter of rectangle will be : ![2\times(7x+5x)](https://tex.z-dn.net/?f=2%5Ctimes%287x%2B5x%29)
the perimeter of rectangle will be : ![2\times 12x](https://tex.z-dn.net/?f=2%5Ctimes%2012x)
the perimeter of rectangle will be : ![24x](https://tex.z-dn.net/?f=24x)
As per question, the given perimeter is 192, so
![24x=192](https://tex.z-dn.net/?f=24x%3D192)
Dividing 24 in both sides,
![x=\frac{192}{24}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B192%7D%7B24%7D)
![x=8](https://tex.z-dn.net/?f=x%3D8)
Hence the length of rectangle will be : ![7\times 8 =56](https://tex.z-dn.net/?f=7%5Ctimes%208%20%3D56)
Hence the width of rectangle will be : ![5\times 8 =40](https://tex.z-dn.net/?f=5%5Ctimes%208%20%3D40)
Hence the dimensions are 56 ft and 40 ft. : Answer
Hope it will help :)