The area of a rectangle is equal to its length x width:

a = l x w
a = a x b
a = 3 x 8
a = 24

The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:

b² + 11b + 24 = 0
(b + 3)(b + 8) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (b + 3) or (b + 8) must equal zero:

If (b + 3) = 0, b must equal -3
If (b + 8) = 0, b must equal -8

So the solution is that b = -3 or -8

To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce -72 as well and sum (Inside, Outside) to equal -1. For this problem, those two numbers are -9 and 8. Then, plug these into a set of binomials using the square root of the First variable (y²):

y² - y - 72
y² + (-9 + 8)y + (-9 x 8)
(y - 9)(y + 8)

A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.

A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.