220,245 views
45 votes
45 votes
Streak325/46 1stThe length of Rectangle A is 7x + 11. The length of Rectangle B is 15x - 9. Given the tworectangles are congruent, what is the value of x?

User Chay
by
2.5k points

1 Answer

16 votes
16 votes

Hello!

As the exercise informs that the two rectangles are congruent, it means that its length will be equal.

So, we must equal both lengths and solve to find the value of X, look:


\begin{gathered} A=B \\ 7x+11=15x-9 \\ 7x-15x=-9-11 \\ -8x=-20 \\ x=(20)/(8)=(10)/(4)=(5)/(2) \\ \end{gathered}

Answer:

The value of x is 5/2 or 2.5.

User JakeDK
by
3.2k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.