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

a = l x w
a = a x b
a = 7 x 1
a = 7

The area of a triangle is equal to ½ base x height:

a = ½bh
a = ½ x 9 x 6 = \( \frac{54}{2} \) = 27

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 < sign and the answer on the other.

9b + 6 < \( \frac{b}{8} \)
8 x (9b + 6) < b
(8 x 9b) + (8 x 6) < b
72b + 48 < b
72b + 48 - b < 0
72b - b < -48
71b < -48
b < \( \frac{-48}{71} \)
b < -\(\frac{48}{71}\)

A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.

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° = 31, the value of a° is 31.