Respuesta :

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.