Final answer:
To determine the fencing length for the rectangular playground, we use the perimeter formula P = 2l + 2w. With a length of 40 meters and width of 30 meters, the total fencing needed is 140 meters, which is none of the provided answer choices, indicating a possible error in the options. Option D is the closest correct answer.
Step-by-step explanation:
The question pertains to finding the total length of the fencing required to enclose a rectangular playground. The length of the playground is given as 40 meters, and the width as 30 meters. To determine the perimeter of the rectangle, which is the total length needed for the fencing, we use the formula P = 2l + 2w, where 'P' stands for perimeter, 'l' for length, and 'w' for width.
To calculate the fencing required, we substitute the given measurements into the formula:
- P = 2 × length + 2 × width
- P = 2 × 40 meters + 2 × 30 meters
- P = 80 meters + 60 meters
- P = 140 meters
Therefore, the total length of fencing needed is 140 meters, which is not one of the provided options. Hence, there seems to be a typographical error in the options given.