A rectangular 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.