Ross needs to paint the white boundary lines of one end zone on a football feild. The area of the end zone is 4,800 square feet, and on one side of the end zone measures 30 feet. One can of paint is enough to paint 300 feet of line. Help Ross find out if one can is enough to line the perimeter of the end zone.

4800 / 30 = 160

P = (2 * 30) + (2 * 160)

P = 380 feet

To determine if one can of paint is enough to line the perimeter of the end zone, we need to find the length of all four sides of the end zone.

Given:
Area of the end zone = 4,800 square feet
Length of one side = 30 feet

Since the end zone is rectangular, we can use the formula to find the length of the rectangle's sides:

Area = Length x Width

Solving for the width:
Width = Area / Length

Width = 4,800 / 30
Width = 160 feet

The length of the end zone is 30 feet, and the width is 160 feet. Thus, we can calculate the perimeter by adding up all four sides:

Perimeter = 2(Length + Width)

Perimeter = 2(30 + 160)
Perimeter = 2(190)
Perimeter = 380 feet

Now, we need to determine if one can of paint, which covers 300 feet of line, is enough to line the entire perimeter of 380 feet.

Divide the perimeter by the coverage of one can of paint:

Number of cans needed = Perimeter / Coverage per can

Number of cans needed = 380 / 300
Number of cans needed ≈ 1.27

Therefore, Ross will need approximately 1.27 cans of paint to line the perimeter of the end zone. As one can is not enough, he should consider getting an additional can of paint.

To find out if one can of paint is enough to line the perimeter of the end zone, we need to calculate the total length of the boundary lines in the end zone.

First, let's find the length of the other side of the end zone. Since we know the area of the end zone is 4,800 square feet and one side measures 30 feet, we can divide the area by the length of one side to find the length of the other side.

Area of the end zone = Length × Width
4,800 = 30 × Width

Dividing both sides by 30 gives us:
Width = 160 feet

Now, let's calculate the total length of the boundary lines. The perimeter of a rectangle is given by the formula:

Perimeter = 2 × Length + 2 × Width

Plugging in the values, we get:
Perimeter = 2 × 30 + 2 × 160
Perimeter = 60 + 320
Perimeter = 380 feet

Since one can of paint can paint 300 feet of line, we can divide the perimeter by 300 to find out how many cans of paint are needed:

Number of cans needed = Perimeter ÷ 300
Number of cans needed = 380 ÷ 300
Number of cans needed ≈ 1.27

Since we can't have a fraction of a paint can, Ross would need to buy 2 cans of paint to ensure he has enough to line the perimeter of the end zone.