Question

A rectangular patio has a length of 12 12feet and an area of 103 18square feet. What is the width of the patio?

Answer 1

Given a rectangle with length l and width w, then

`\text{ the area of the rectangle = }lw`

In this case,

`\text{ the area of the rectangle = }103(1)/(8)ft^2=(825)/(8)ft^2`

and

`l=12(1)/(2)ft=(25)/(2)ft`

Therefore, we have

`(825)/(8)=(25)/(2)* w`

this implies that

`\begin{gathered} (25w)/(2)=(825)/(8) \\ \text{Cross}-\text{ mulitplying, we have} \\ 25w*8=2*825 \\ \text{this implies that} \\ 200w=2*825 \end{gathered}`
`w=(2*825)/(200)=(825)/(100)=8(25)/(100)=8(1)/(4)ft`