Question

What is the length of side AB of parallelogram ABCD?
units
4g - 8
B
q+4

Answer 1

Answer:

8 units

Step-by-step explanation:

» Concepts

Parallelogram Side Theorem states that the opposite sides of a parallelogram are congruent, meaning they have the same length.

» Application

In this case, we're asked to apply the theorem to find the value of q and then find the length of AB. Thus, we have to set up the equation 4q - 8 = q + 4.

» Solving

Step 1: Subtract q from both sides.

• $4q-8-q=q+4-q$
• $3q-8=4$

Step 2: Add 8 to both sides.

• $3q-8+8=4+8$
• $3q=12$

Step 3: Divide both sides by 3.

• $3q/3 = 12/3$
• $q=4$

Step 4: Plug in the value of q for side AB.

• $4(4)-8$
• $16-8$
• $8$

Therefore, the answer is 8 units.