To find the values of the sides, we can set up a system of equations based on the given information.
Let's assume the two sides are represented by variables x and y.
From the given information, we have two equations:
Equation 1: x + y = 30
Equation 2: x * y = 210
We can solve this system of equations to find the values of x and y.
One way to solve this is by substitution.
From Equation 1, we can express x in terms of y as x = 30 - y.
Substituting this into Equation 2:
(30 - y) * y = 210
Expanding the equation:
30y - y^2 = 210
Rearranging the equation:
y^2 - 30y + 210 = 0
This quadratic equation can be factored as:
(y - 6)(y - 24) = 0
Setting each factor equal to zero:
y - 6 = 0 or y - 24 = 0
Solving for y:
y = 6 or y = 24
If y = 6, then x = 30 - y = 30 - 6 = 24.
If y = 24, then x = 30 - y = 30 - 24 = 6.
Therefore, the possible values for the sides are x = 6 and y = 24, or x = 24 and y = 6.