Jeff is changing the shape of his sandbox from 10 feet long by 12 feet wide to a square that has the same area. What is the perimeter of the square sandbox, rounded to the nearest hundredth?
10*12 = s^2
Calculate to find s, then multiply by 4 for the perimeter.
43.82
Jeff is changing the shape of his sandbox from 10 feet long by 12 feet wide to a square that has the same area. What is the perimeter of the square sandbox, rounded to the nearest hundredth?
To find the perimeter of the square sandbox, we first need to determine the area of the original rectangular sandbox. The formula for finding the area of a rectangle is length multiplied by width.
In this case, the original sandbox is 10 feet long by 12 feet wide, so the area is 10 feet * 12 feet = 120 square feet.
Since Jeff wants to change the shape of his sandbox to a square with the same area, we need to find the side length of the square. To do this, we take the square root of the area.
√120 ≈ 10.95
The approximate side length of the square sandbox is 10.95 feet.
Now that we know the side length of the square, we can find the perimeter by multiplying the side length by 4 (since all sides of a square are equal).
Perimeter = 10.95 feet * 4 = 43.8 feet
Rounded to the nearest hundredth, the perimeter of the square sandbox is approximately 43.80 feet.