Question

the width of a basketball court is 5 feet less than three times the length. if the perimeter is no more than 500 feet, what is the possible length of the basketball court

Answer 1

The possible value of the basketball length is 63.75 feet

Step-by-step explanation:

The given is:

• The width of a basketball court is 5 feet less than three times the length
• If the perimeter is no more than 500 feet

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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