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Write an algebraic expression for the perimeter of a rectangular garden with a width of 3 feet and a length of 2y feet. Simplify your expression and find the perimeter of the garden if y=6. Draw a model and show your work.

User Polochon
by
8.2k points

1 Answer

4 votes

Answer:

i.
P=4y+6

ii.
P=30\:ft

Explanation:

The given rectangular garden has width,
w=3ft and length,
l=2y\:ft.

The perimeter of a rectangle is calculated using the formula;


P=2l+2w

We substitute the given dimensions into the formula to get;


P=2(2y)+2(3)


\Rightarrow P=4y+6

We substitute;


y=6 to obtain;


\Rightarrow P=4(6)+6

Simplify;


\Rightarrow P=24+6


\Rightarrow P=30ft

User Rjsang
by
8.0k points

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