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

a = l x w
a = a x b
a = 9 x 8
a = 72

The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c²) is equal to the sum of the two perpendicular sides squared (a² + b²): c² = a² + b² or, solved for c, \(c = \sqrt{a + b}\)

For parallel lines with a transversal, the following relationships apply:

• angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°)
• alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°)
• all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other
• same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°)

Applying these relationships starting with c° = 29, the value of b° is 151.

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 24 as well and sum (Inside, Outside) to equal -10. For this problem, those two numbers are -6 and -4. Then, plug these into a set of binomials using the square root of the First variable (y²):

y² - 10y + 24
y² + (-6 - 4)y + (-6 x -4)
(y - 6)(y - 4)

A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.