Question

Using the Parallelogram Side Theorem Parallelogram A B C D is shown. Sides A B and D C are parallel. The length of A B is 4 q minus 8 and the length of D C is q + 4. What is the length of side AB of parallelogram ABCD? units

Answer 1

Answer: The length of AB = 8 units

Explanation:

Given: In parallelogram ABCD, Sides A B and D C are parallel.

The length of AB is 4q minus 8 and the length of DC is q + 4.

Since opposite sides of parallelogram is parallel and equal.

So
`4q-8=q+4`

`\Rightarrow\ 4q-q=4+8\\\\\Rightarrow\ 3q=12\\\\\Rightarrow\ q=4`

Length of AB = 4q-8=4(4)-8=16-8=8 units

Hnece, the length of AB = 8 units