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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.

Respuesta :

kudzordzifrancis

Answer:

i. [tex]P=4y+6[/tex]

ii. [tex]P=30\:ft[/tex]

Step-by-step explanation:

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

The perimeter of a rectangle is calculated using the formula;

[tex]P=2l+2w[/tex]

We substitute the given dimensions into the formula to get;

[tex]P=2(2y)+2(3)[/tex]

[tex]\Rightarrow P=4y+6[/tex]

We substitute;

[tex]y=6[/tex] to obtain;

[tex]\Rightarrow P=4(6)+6[/tex]

Simplify;

[tex]\Rightarrow P=24+6[/tex]

[tex]\Rightarrow P=30ft[/tex]

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