Two faulty tennis ball machines start to shoot balls from opposite sides of a 25 meter by 10 meter tennis court. The green ball machine shoots green balls that stop on the court 5 meters to 20 meters from the green machine's side. The yellow ball machine shoots yellow balls that stop on the court 2 meters to 16 meters from the yellow machine's side. Find the area of the tennis court that has balls of either color on it.

180 m²

Step-by-step explanation:

The tennis court has a length of 25 meters and a width of 10 meters. The faulty tennis ball machines are placed at both ends of the court length.

The green ball machine has a range of 5 meters to 20 meters from the green machine's side while the yellow ball machine has a range of  2 meters to 16 meters from the yellow machine's.

Therefore the area of the tennis court with balls on it, has a range of 2 meters from the yellow machine and 5 meters from the green ball machine. Hence:

length of court with balls = 25 m - (5 m + 2 m) = 25 m - 7 m = 18 m

width of court = 10 m

Therefore,  the area of the tennis court that has balls of either color on it = length of court with balls * width of court with balls = 18 m * 10 m = 180 m²

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step-by-step explanation: