Sam is planning to put a fence around a circular garden in his lawn. The garden is 10 feet from end to end.
If the total cost of a fence is $440, what is the unit price of fence per foot? (Use ð=227.)
The answer is 100% 14!
I generally don't think of circles as having ends, so maybe the fence is rectangular or square.
However, since you talk about using pi=22/7, I'll assume you want a circular fence, and the diameter is 10 ft.
So, C = 10pi = 31.4 ft
$440/31.4ft = $14.01/ft
Jsa
14
1092
14
Luke is going to repaint both sides of the door of his room. The door is 36 inches long by 80 inches high. His options at the paint store are below.
1 gallon of paint costs $10 and covers 4,400 square inches of area.
12 gallon of paint costs $7 and covers 2,200 square inches of area.
If the door requires 2 coats of paint, what is the minimum cost of painting the door of Luke's room?
To find the unit price of the fence per foot, we need to divide the total cost of the fence by the perimeter of the circular garden.
The formula for the perimeter of a circle is given by:
Perimeter = 2 * π * radius
In this case, Sam mentioned that the garden is 10 feet from end to end. Since this refers to the diameter, we need to divide it by 2 to get the radius.
Radius = diameter / 2 = 10 feet / 2 = 5 feet
Now, we can substitute the value of the radius into the perimeter formula:
Perimeter = 2 * π * 5 feet
Using the given approximation of ð as 227:
Perimeter ≈ 2 * 227 * 5 feet
Now, we can calculate the approximate perimeter:
Perimeter ≈ 2 * 227 * 5 feet
Perimeter ≈ 227 * 10 feet
Perimeter ≈ 2270 feet
We have found the perimeter of the circular garden, which is 2270 feet.
To find the unit price per foot, we need to divide the total cost of the fence by the perimeter of the circular garden:
Unit Price = Total Cost / Perimeter
Unit Price = $440 / 2270 feet
Now we can calculate the unit price per foot:
Unit Price ≈ $440 / 2270 feet
Using a calculator, we find that the unit price per foot is approximately $0.193 per foot.