Question

GARDEN You want to use a square section of your yard for a garden. You have at most 52 feet of fencing to surround the garden. Write and solve an inequality to represent the possible lengths of each side of the garden.

Answer 1

Perimeter of a square is given by:

`P =4a`

where P is the perimeter of a square and a is the length of each side of a square.

As per the statement:

You want to use a square section of your yard for a garden. You have at most 52 feet of fencing to surround the garden.

use conversion:

1 feet = 0.333333 yards.

52 feet = 17.3333 yards.

"At most" means less than
`'\leq'`

then, we have an inequality ,i.e,

`4a \leq 17.3333` .....[1]

Solve for a:

Divide both sides by 4 in [1] we get;

`a\leq 4.33`

Therefore, the possible length of each side of the garden should be less than equal to 4.33 yard