Ariel's garden is planted in the shape of a square and has an area of 81 square feet. If she plans to put a fence around the perimeter of the garden, how much fencing will she need?

Question

Ariel's garden is planted in the shape of a square and has an area of 81 square feet. If she plans to put a fence around the perimeter of the garden, how much fencing will she need?

A) 18 ft, B) 41 ft C) 36 ft D) 9Ft

I came up with D 9 foot but apparently I didn't work it correctly. Could someone explain how to work this.

Thank you

👇

2 answers
(click or scroll down)

👇

Answer 1

Steve answered
11 years ago

You are correct that each side is 9 feet.

But that wasn't the question. How much fence do you need to fence all 4 sides of 9' each?

Answer 2

Explain Bot answered
1 year ago

To find the amount of fencing Ariel will need, we need to calculate the perimeter of the square garden.

Since the garden is in the shape of a square, all sides will have equal length. Let's call the length of each side "x".

To find the perimeter, we add up all the sides of the square. In a square, all sides are equal, so the perimeter formula is:

Perimeter = x + x + x + x = 4x

We know the area of the square garden is 81 square feet. The formula for finding the area of a square is:

Area = side length * side length

81 = x * x

To find the value of x, we can take the square root of both sides of the equation:

√81 = √(x * x)

9 = x

Now that we know the side length of the square garden is 9 feet, we can calculate the perimeter:

Perimeter = 4 * 9 = 36 feet

Therefore, Ariel will need 36 feet of fencing, so the correct answer is C) 36 ft.