The possible value of the basketball length is 63.75 feet
Step-by-step explanation:
The given is:
We need to find the possible length of the basketball court
Assume that the length of the basketball court is x feet
∵ The length of the basketball court is x feet
∵ The width of it is 5 feet less than three times the length
- Multiply x by 3 and then subtract 5 from the product
∴ The width is 3x - 5
∵ The perimeter is no more than 500 feet
- No more means ≤
∴ The perimeter is ≤ 500
∵ The perimeter = 2(length + width)
∴ The perimeter = 2(x + 3x - 5)
- Add like terms
∴ The perimeter = 2(4x - 5)
- Substitute the perimeter in the inequality above
∴ 2(4x - 5) ≤ 500
- Simplify the left hand side
∴ 8x - 10 ≤ 500
- Add 10 to both sides
∴ 8x ≤ 500
- Divide both sides by 8
∴ x ≤ 63.75
The possible value of the basketball length is 63.75 feet
Learn more:
You can learn more about inequalities in brainly.com/question/11788572
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