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

What Is The Length Of Side AB Of Parallelogram ABCD Units 4g 8 B Q4 class=

Sagot :

renknee

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.

  • [tex]4q-8-q=q+4-q[/tex]
  • [tex]3q-8=4[/tex]

Step 2: Add 8 to both sides.

  • [tex]3q-8+8=4+8[/tex]
  • [tex]3q=12[/tex]

Step 3: Divide both sides by 3.

  • [tex]3q/3 = 12/3[/tex]
  • [tex]q=4[/tex]

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

  • [tex]4(4)-8[/tex]
  • [tex]16-8[/tex]
  • [tex]8[/tex]

Therefore, the answer is 8 units.

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