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

An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.

A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.

To find the diagonal we need to know the length of one of the square's sides. We know the area and the area of a square is the length of one side squared:

a = s²

so the length of one side of the square is:

s = \( \sqrt{a} \) = \( \sqrt{36} \) = 6

The Pythagorean theorem defines the square of the hypotenuse (diagonal) of a triangle with a right angle as the sum of the squares of the other two sides:

c² = a² + b²
c² = 6² + 6²
c² = 72
c = \( \sqrt{72} \) = \( \sqrt{36 x 2} \) = \( \sqrt{36} \) \( \sqrt{2} \)
c = 6\( \sqrt{2} \)

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.

4z - 3 = \( \frac{z}{-8} \)
-8 x (4z - 3) = z
(-8 x 4z) + (-8 x -3) = z
-32z + 24 = z
-32z + 24 - z = 0
-32z - z = -24
-33z = -24
z = \( \frac{-24}{-33} \)
z = \(\frac{8}{11}\)