The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:

a = ½(b + d)(h)
a = ½(8 + 8)(2)
a = ½(16)(2)
a = ½(32) = \( \frac{32}{2} \)
a = 16

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:

x² + x - 6 = 2x - 4
x² + x - 6 + 4 = 2x
x² + x - 2x - 2 = 0
x² - x - 2 = 0

Next, factor the quadratic equation:

x² - x - 2 = 0
(x + 1)(x - 2) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (x + 1) or (x - 2) must equal zero:

If (x + 1) = 0, x must equal -1
If (x - 2) = 0, x must equal 2

So the solution is that x = -1 or 2

The volume of a cylinder is πr²h:

v = πr²h
v = π(9² x 1)
v = 81π

To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.

The surface area of a cylinder is 2πr² + 2πrh:

sa = 2πr² + 2πrh
sa = 2π(8²) + 2π(8 x 1)
sa = 2π(64) + 2π(8)
sa = (2 x 64)π + (2 x 8)π
sa = 128π + 16π
sa = 144π