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Sam is having a problem with rabbits getting into his vegetable garden, so he decides to fence it in. The length of the garden is 9 feet more than 6 times the width. He needs 74 feet of fencing to do the job. How many feet is the length of the garden?

Answer :

Answer:

The length of the garden is 33 feet and the width of the garden is 4 feet.                                        

Step-by-step explanation:

We are given the following in he question:

Perimeter of rectangular garden = 74 feet

Let l be the length of the garden and w be the width.

The length of the garden is 9 feet more than 6 times the width.

Thus, we can write

[tex]l = 9 + 6w\\\Rightarrow l-6w = 9[/tex]

Perimeter of rectangular garden =

[tex]2(l + w) = 74\\\Rightarrow l+w = 37[/tex]

Solving the two equation by elimination method, we get,

[tex]l-6w-(l+w) = 9 -37\\-7w = -28\\w = 4\\l = 9 + 6(4) = 33[/tex]

Thus, the length of the garden is 33 feet and the width of the garden is 4 feet.

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