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.

Respuesta :

Answer:

Perimeter of a square is given by:

[tex]P =4a[/tex]

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 [tex]'\leq'[/tex]

then, we have an inequality ,i.e,

[tex]4a \leq 17.3333[/tex]     .....[1]

Solve for a:

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

[tex]a\leq 4.33[/tex]

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