85% of a number is added to 24, the result is the same number find the number.

x = 5.97

Step-by-step explanation:

The area of a circle is

A = pi r^2

56 = pi r^2

56 = 3.14 r^2

56/3.14 = r^2

17.8343949 = r^2

Take the square root of each side

4.223078842=r

The radius is 1/2 the diameter

2r =d

8.446157684 =d

The diameter is the hypotenuse of the square

a^2 + b^2 =c^2

but in a square a and b are the same, we will call it x where x is the length of the side

x^2 + x^2 = (8.446157684)^2

2x^2 = (8.446157684)^2

2x^2 =71.33757962

Divide by 2

x^2=35.66878981

Take the square root of each side

sqrt(x^2) =sqrt(35.66878981)

x = 5.972335373

To 3 significant figures

x = 5.97