Question

Use the given parallelogram to find the length of side AB. В. C x+ 3 2x- 6 А D

Answer 1

Given:

AB = x + 3

DC = 2x - 6

A parallelogram is a quadilateral that has two equal parallel sides.

Thus:

AB = DC

BC = AD

To find the length of the side AB, equate AB and CD since they are equal.

We have:

AB = DC

x + 3 = 2x - 6

Solve for x:

x + 3 = 2x - 6

Subtract 3 from both sides:

x + 3 - 3 = 2x - 6 - 3

x = 2x - 9

Subtract 2x from both sides:

x - 2x = 2x - 2x - 9

x - 2x = -9

-x = -9

Divide both sides by -1:

`\begin{gathered} (-x)/(-1)=(-9)/(-1) \\ \\ x=9 \end{gathered}`

To find AB, substitute 9 for x in (x + 3).

AB = x + 3

AB = 9 + 3 = 12

Therefore, the length of side AB is = 12

ANSWER:

12