Question

The length of a basketball court is

(6x^2 +
20x) m. If the length is 2x times the width,
what is the width of the court?

Answer 1

`\\ \rm\hookrightarrow 6x^2+20x=2x`

`\\ \rm\hookrightarrow 6x^2=-18x`

`\\ \rm\hookrightarrow x^2=-3x`

`\\ \rm\hookrightarrow x=-3`

Answer 2

Note that:

• Length of court = (6x² + 20x)
• Length of court = 2x(Width of court)

Divide the length of the court by 2x to find the width of the court.

• Width of court = (6x² + 20x)/2x
• => Width of court = 6x²/2x + 20x/2x
• => Width of court = 3x + 10