Question

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?

Answer 1

Area=Length x width
so you replace the words with numbers
103 1/8=12 1/2 × width
width=(103 1/8)÷(12 1/2)
width =8.25 ft

Answer 2

Since a rectangular patio is a rectangle, to solve this we are going to use the formula for the area of a rectangle:
`A=wl`

where

`A` is the area of the rectangle

`w` is the width of the rectangle

`l` is the length of the rectangle

We know form our problem that the length of the rectangular patio is
`12(1)/(2)` feet, so
`l=12(1)/(2) ft`. We also know that the area is
`103(1)/(8)` square feet, so
`A=103(1)/(8) ft^2`. Lets replace those values in our formula and solve for
`w`:

`A=wl`

`103(1)/(8) ft^2=12(1)/(2)ftw`

`(103(1)/(8)ft^2)/(12(1)/(2)ft) =w`

`w=(103(1)/(8)ft^2)/(12(1)/(2)ft)`

`w=8(1)/(4) ft=8.25ft`

We can conclude that the width of the rectangular patio is
`8(1)/(4)` feet, or as a decimal, 8.25 feet.