Question

9. Patrick wants to put a fence around his rectangular garden. His garden measures 30 feet by 47 feet. Thegarden has a path around it that is 3 feet wide. How much fencing material does Patrick need to enclose thegarden and path?

Answer 1

As the path is 3ft wide, then to fence the garden and path we have to calculate the perimeter of the red rectangle, which can be done with the following formula:

`P=2b+2h`

where P is the perimeter, b is the base and h is the height. In our case, we have to calculate these parameters for the red rectangle:

`b=30+3+3=36`
`h=47+3+3=53`

Now, we can replace these values in the formula of P:

`P=2\cdot36+2\cdot53`
`P=72+106`
`P=178`

Answer: 178m