A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s²).

A trapezoid is a quadrilateral with one set of parallel sides.

According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:

c² = a² + b²
c² = 7² + 2²
c² = 49 + 4
c² = 53
c = \( \sqrt{53} \)

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.

5x + 1 > 6 + 6x
5x > 6 + 6x - 1
5x - 6x > 6 - 1
-x > 5
x > \( \frac{5}{-1} \)
x > -5

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.

-7y - 8 = -6 + 5y
-7y = -6 + 5y + 8
-7y - 5y = -6 + 8
-12y = 2
y = \( \frac{2}{-12} \)
y = -\(\frac{1}{6}\)