Question

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.

Answer 1

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`