Question

Find the values of the variables. then find the side lengths of the square.

Answer 1

x = 2, y = 9, and the side length of the square is 6 units.

What is a Square?

A square is a quadrilateral that has four equal lengths, that is, all its sides are equal.

Thus:

y - 6 = 2y - 15

• Combine like terms

y - 2y = 6 - 15

-y = -9

y = 9

Also:

3x - 3 = y - 6

• Plug in the value of y

3x - 3 = 9 - 6

3x - 3 = 3

3x = 3 + 3

3x = 6

x = 2

Therefore, the sides would be:

y - 6 = 9 - 6 = 3 units

In summary, x = 2, y = 9, and the side length of the square is 6 units.

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