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The area of a basketball court is 115yd² greater than the area of a tennis court. If the area of a tennis court is 312yd², write an equation to represent the area of the basketball court.

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Final answer:

To find the area of the basketball court, which is 115yd² greater than the tennis court with an area of 312yd², we write the equation A = 312yd² + 115yd², where A represents the area of the basketball court.

Step-by-step explanation:

The question involves writing an equation to represent the area of a basketball court given that it is larger by a certain amount than the area of a tennis court. Since the area of the tennis court is given as 312yd² and we are told that the basketball court's area is 115yd² greater, we can let A represent the area of the basketball court.

The equation to represent A in terms of the given information would be:

A = 312yd² + 115yd²

The resulting equation simply adds the additional square yards to the area of the tennis court to find the area of the basketball court.

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