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

Answer:

i. $P=4y+6$

ii. $P=30\:ft$

Step-by-step 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;

$\Rightarrow P=24+6$

$\Rightarrow P=30ft$