204k views
5 votes
ABCD is a parallelogram. If AB = 3x and CD = x+10, find AB

ABCD is a parallelogram. If AB = 3x and CD = x+10, find AB-example-1
User Bharel
by
9.0k points

1 Answer

0 votes

A parallelogram by definition is a four-sided figure with opposite sides that are parallel.

If that's the case, the length of opposite sides should be the same as well, meaning that:


AB=CD

then,


\begin{gathered} 3x=x+10 \\ \text{solve for x} \\ 3x-x=10 \\ 2x=10 \\ x=(10)/(2) \\ x=5 \end{gathered}

find AB


\begin{gathered} AB=3x \\ AB=3\cdot5 \\ AB=15 \end{gathered}

A

User Erol
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories