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
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?
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.