A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s²).

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.

9c + 2 = -9 + 6c
9c = -9 + 6c - 2
9c - 6c = -9 - 2
3c = -11
c = \( \frac{-11}{3} \)
c = -3\(\frac{2}{3}\)

A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).

The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:

a² + 18a + 52 = 3a - 2
a² + 18a + 52 + 2 = 3a
a² + 18a - 3a + 54 = 0
a² + 15a + 54 = 0

Next, factor the quadratic equation:

a² + 15a + 54 = 0
(a + 6)(a + 9) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (a + 6) or (a + 9) must equal zero:

If (a + 6) = 0, a must equal -6
If (a + 9) = 0, a must equal -9

So the solution is that a = -6 or -9

Perimeter is equal to the sum of the four sides:

p = a + b + c + d
p = 8 + 6 + 6 + 2
p = 22