A rectangular football field, including both end zones, is 120 yards long. The field has an area of 57,600 ft.². What is the width of the field in feet.
120*3*W=57600
solve for W.
How did u get the 3 ? And where did u get the 3 ?
To find the width of the football field in feet, we need to calculate the width of the field in yards first, and then convert it to feet.
1. Start by subtracting the length of both end zones from the total length of the field. Since the total length of the field is given as 120 yards, and we need to account for both end zones, we can write the equation as:
Length - 2 * End zone = Field length
120 yards - 2 * End zone = Field length
2. The problem states that the field has an area of 57,600 ft². We can use this information to find the dimensions in yards.
Area = Length * Width
57,600 ft² = Length * Width
3. Since we want to find the width in feet, we need to convert the area from square feet to square yards. Since there are 3 feet in a yard, we can divide the area by 3² (9) to convert square feet to square yards:
Area in square yards = 57,600 ft² / 9
4. Now we can solve the equation by substituting the field length from step 1:
(57,600 ft² / 9) = (120 yards - 2 * End zone) * Width
5. Rearrange the equation to solve for the width:
Width = (57,600 ft² / 9) / (120 yards - 2 * End zone)
With this equation, we can now find the width of the football field in feet.
To find the width of the football field in feet, we can start by converting the length of the field from yards to feet.
Given that the field, including both end zones, is 120 yards long, we can convert yards to feet by multiplying it by 3.
120 yards * 3 feet/yard = 360 feet
So, the length of the football field is 360 feet.
Now, to find the width of the field, we can divide the total area of the field by its length.
Given that the area of the field is 57,600 square feet and the length is 360 feet:
Width = Area / Length
Width = 57,600 sq.ft / 360 ft
Width = 160 feet
Therefore, the width of the football field is 160 feet.