A tennis court is 23.8 m by 11 m. A tennis club has 3 courts side by side in a fenced area. The courts have 3 m between them and 3 m around the outside. What are the dimensions of the fenced space?
Please and thank you!
correction* 3 meters is too less room.
Make yourself a sketch and add up the distances.
Leaving only 3 meters behind the baselines and between courts seems rather crazy. I don't think the person who came up with this question plays much tennis. There is typically 6.4 meters behind the baselines for players to move around. But go ahead and use their dimensions anyway.
Okay. That's true, 3 meters is a pretty wide space. I figured out the first dimension, it's 29.8 m. I still need the second dimension so I can figure out the area of the fenced space.
OK with the 29.8 m dimension perpendicular to the nets. For the other dimension, you need 3 x 11m (for three courts) + 2x3 m between courts and 2x3 m along the sides of the outer two courts. That is a total of 33 + 6 + 6 = 45 m
ohh... okay thanks so much! i really appreciate it. it makes sense now. ;)
what is greater then 3,000 and what is less then 4,000
To find the dimensions of the fenced space, we need to first calculate the dimensions of a single court with the extra space around it, and then multiply it by the number of courts and the spacing between them.
- The length of a single court with the extra space around it would be:
23.8m (court length) + 3m (extra space on one side) + 3m (extra space on the other side)
= 23.8m + 3m + 3m
= 23.8m + 6m
= 29.8m
- The width of a single court with the extra space around it would be:
11m (court width) + 3m (extra space on one side) + 3m (extra space on the other side)
= 11m + 3m + 3m
= 11m + 6m
= 17m
Therefore, the dimensions of a single court with the extra space around it are 29.8m by 17m.
Since there are 3 courts side by side, we need to multiply the dimensions of a single court with the extra space by 3.
- The length of the fenced space would be:
29.8m (single court length with extra space) × 3 (number of courts side by side)
= 89.4m
- The width of the fenced space would be:
17m (single court width with extra space) × 1 (there is no spacing between the courts in this direction)
= 17m
Therefore, the dimensions of the fenced space are 89.4m by 17m.
You're welcome! If you have any more questions, feel free to ask.