Answer:
the length of the basketball court is 34 meters and the width is 14 meters.
Explanation:
According to the given information, the length is 6 meters longer than twice the width. Therefore, the length can be expressed as 2x + 6.
The perimeter of a rectangle is calculated by adding all four sides. In this case, the perimeter is given as 96 meters.
Perimeter = 2(length + width)
Plugging in the values, we have:
96 = 2((2x + 6) + x)
Simplifying the equation:
96 = 2(3x + 6)
96 = 6x + 12
6x = 96 - 12
6x = 84
x = 84/6
x = 14
So, the width of the basketball court is 14 meters.
To find the length, we can substitute the value of x back into the expression for the length:
Length = 2x + 6
Length = 2(14) + 6
Length = 28 + 6
Length = 34