Respuesta :

Since it's a square court, all sides are equal, so we can square one side to find the area. S²=A

We know the area (66 ft²) but not the length of one Side...
Enter our known value, and take the square root of both sides:
S²=66
√S²=√66
S=√66
S≈8.12403.....round to the nearest tenth:
S=8.1 ft



The side of the four-square court is 8.1 ft.

Area of Square

The area of a square is given as the square of its side. the are of a square whose side is a is given as,

Area of Square = a²

Given to us

the area of a four-square court = 66 ft²

Assumption

Let's assume that the side of the four-square court is x.

Calculation

the area of a four-square court = area of square

[tex]66 = x^2\\x^2 = 66\\x = \sqrt{66}\\x=8.124[/tex]

Thus, the side of the four-square court is 8.124 ft. but we want the value to be the nearest tenth of a foot,

[tex]\rm{8.124\ ft \approx 8.1\ ft[/tex]

Hence, the side of the four-square court is 8.1 ft.

Learn more about Area of Square:

https://brainly.com/question/1658516