We have rectangle with 2 equal widths and 2 equal lengths
We know one side is 9 feet wide and since its a rectangle 2 sides are 9 feet wide
We can just plug 9 in the Perimeter Formula to find the other side
Perimeter of a Rectangle is 2(width) + 2(length)
Perimeter is 48 feet
The width is 9 feet
Let L = the length
48 = 2(9) + 2(L)
48 = 18 + 2L
Subtract 18 from both sides of the equation
48 - 18 = 2L
30 = 2L
Divide both sides of the equation by 2
30/2 = L
15 = L
So the Patio is made of two sides that are 9 feet and two sides that are 15 feet.
I hope this helps and please send me a message if you have any questions.