Final answer:
To find the perimeter of a rectangular playing field, you need to know the length and width of the field. The perimeter of the field is equal to 12 times the width of the field. By setting up an equation using the given information about the amount of fencing, we can solve for the width and calculate the perimeter.
Step-by-step explanation:
To find the perimeter of a rectangular playing field, we need to know the length and width of the field. Let's assume the width of the field is 'w' meters.
According to the given information, the length of the field is 5 meters multiplied by its width, which gives us a length of 5w meters.
The perimeter of a rectangular field is calculated by adding up all four sides. In this case, the perimeter is equal to 2w + 2(5w) meters.
By simplifying the expression, we get the perimeter of the field as 12w meters.
Since we are given that 230 meters of fencing goes around the field, we can set up an equation:
12w = 230
Solving for 'w', we divide both sides of the equation by 12: w = 230/12 = 19.17 meters.
Finally, we can substitute the value of 'w' back into the perimeter equation to find the perimeter of the field:
Perimeter = 12w = 12(19.17) = 230 meters.