The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.

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 + 4)(2)
a = ½(12)(2)
a = ½(24) = \( \frac{24}{2} \)
a = 12

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:

c² - 11c + 38 = 2c - 2
c² - 11c + 38 + 2 = 2c
c² - 11c - 2c + 40 = 0
c² - 13c + 40 = 0

Next, factor the quadratic equation:

c² - 13c + 40 = 0
(c - 5)(c - 8) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (c - 5) or (c - 8) must equal zero:

If (c - 5) = 0, c must equal 5
If (c - 8) = 0, c must equal 8

So the solution is that c = 5 or 8

An equation is two expressions separated by an equal sign. The key to solving equations is to 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.

Perimeter is equal to the sum of the four sides:

p = a + b + c + d
p = 1 + 5 + 7 + 4
p = 17