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.

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)² : a = π r².

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 equal sign and the answer on the other.

6a - 7 = \( \frac{a}{7} \)
7 x (6a - 7) = a
(7 x 6a) + (7 x -7) = a
42a - 49 = a
42a - 49 - a = 0
42a - a = 49
41a = 49
a = \( \frac{49}{41} \)
a = 1\(\frac{8}{41}\)

A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).

Perimeter is equal to the sum of the four sides:

p = a + b + c + d
p = 4 + 8 + 8 + 9
p = 29