Arectangular patio has a length of 12 1/2 feet and an area of 103 1/8 square feet. what is the width of the patio?

Length of the rectangular patio = 12 1/2 feet
                                                  = 25/2 feet
Area of the rectangular patio = 103 1/8 square feet
                                               = 825/8 square feet
Let us assume the width of the rectangular patio = x feet
 Then
Area of the rectangular patio = Length * Width
825/8 = (25/2) * x
25x/2 = 825/8
25x = (825 * 2)/8 feet
25x = 825/4 feet
x = 825/(4 * 25) feet
   = 33/4 feet
   = 8 1/4 feet
So the width of the rectangular patio is 8 1/4 feet. I hope the procedure is clear enough for you to understand.