Question

A patio in the shape of a rectangle , is fenced on all sides with 134 feet of fencing. The patio is 5 feet less wide than it is long. What information can be used to solve the problem? How can you find the information? Describe how to find the area of the patio. What is the area of the patio?

Answer 1

Perimeter =2(L+B)

Area of the patio=1116 square feet

Explanation:

We are given that a patio in the shape of rectangle and fenced on all sides with 134 feet of fencing.

Let length of patio=x feet

Width of patio=x-5 feet

We know that perimeter of rectangle =
`2(L+B)`

Substitute the values then we get

`2(x+x-5)=134`

`2(2x-5)=134`

`4x-10=134`

`4x=134+10`

`4x=144`

`x=(144)/(4)`

`x=36`

Length of patio=36 feet

width of patio=36-5=31 feet

Area of rectangle =
`L* B`

using the formula of area of rectangle

Area of the patio=
`36* 31=1116` square feet