Final answer:
The width of the tennis court is determined by setting up an equation based on the relationship between the length and width given in the problem, resulting in a width of 36 feet.Option A is the correct answer.
Step-by-step explanation:
To find the width of the tennis court, we are given the following relationship: the length of the tennis court is 6 feet longer than twice its width. If we let w represent the width, then the length can be represented as 2w + 6 feet. Since we know the length of the tennis court is 78 feet, we can set up an equation:
2w + 6 = 78
Now we solve for w:
- Subtract 6 from both sides of the equation: 2w = 72
- Divide both sides by 2: w = 36
Therefore, the width of the tennis court is 36 feet, which corresponds to option (a).
Let the width of the tennis court be represented by "w" in feet. According to the given information, the length is 6 feet longer than twice the width, which can be expressed as 2w + 6. The length of the court is given as 78 feet. Setting up the equation 2w + 6 = 78 and solving for "w," we find that the width is 36 feet. Therefore, the correct answer is option (a) 36, as it satisfies the conditions provided for the tennis court dimensions.