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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 :

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:

[tex]P=2b+2h[/tex]

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:

[tex]b=30+3+3=36[/tex][tex]h=47+3+3=53[/tex]

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

[tex]P=2\cdot36+2\cdot53[/tex][tex]P=72+106[/tex][tex]P=178[/tex]

Answer: 178m

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