your yard is 72 square feet and twice as long as it is wide.Fencing is sold in lenghts of 4.2 feet, 6.0 feet, 8.5 feet, and 12 feet. If you only want to buy 1 type of frncing, which length is closest to the length you need?
width : x feet
length : 2x ft
2x + 4x = 72
x = 12
So what do you think?
To determine the closest length of fencing you need, you first need to find out the exact dimensions of your yard.
Let's assume the width of your yard is "x" feet. Since the length of the yard is twice the width, the length would be 2x feet.
The area of the yard is given as 72 square feet. The formula for the area of a rectangle is length times width, so we have:
x * 2x = 72
Simplifying further:
2x^2 = 72
x^2 = 36
x = sqrt(36)
x = 6
So the dimensions of your yard are 6 feet width and 12 feet length.
Now that we know the dimensions, we can calculate the perimeter of the yard, which will give us the length of fencing required.
Perimeter = 2 * (width + length)
Perimeter = 2 * (6 + 12)
Perimeter = 2 * 18
Perimeter = 36 feet
Now, we need to find the length of fencing closest to 36 feet from the available options.
The options are:
- 4.2 feet
- 6.0 feet
- 8.5 feet
- 12 feet
The closest length to 36 feet is 4.2 feet.