Final answer:
To mark the perimeters of 3 soccer fields each measuring 70 yards by 42 yards, you should purchase 11 cans of spray paint, rounding up to account for the minimum coverage and ensure enough paint is available.
Step-by-step explanation:
To determine how many cans of spray paint are needed to mark 3 recreational soccer fields with the given dimensions of 70 yards long and 42 yards wide, we first need to calculate the total linear feet that need to be marked. One soccer field's perimeter is calculated as 2 times the length plus 2 times the width, which equals 2(70) + 2(42), resulting in 224 yards for one field's perimeter. In feet, this equates to 224 yards times 3 (since there are 3 feet in a yard), or 672 feet for one field.
For three fields, we need to multiply this perimeter by 3, yielding a total of 672 feet times 3, which is 2,016 feet. If one can of spray paint covers between 200 to 300 linear feet, we will use the lower range to ensure we have enough paint. Therefore, we divide 2,016 feet by 200 feet per can, resulting in 10.08 cans. Since we can't purchase a fraction of a can, we round up to 11 cans to mark the three soccer fields.
In summary, you should purchase 11 cans of spray paint to mark 3 soccer fields that are 70 yards long and 42 yards wide