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?

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asked Oct 26, 2023 71.8k views

1 Answer

Kane · Answer 1 · 2023-10-30T11:53:33+0000

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:

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

The value of x is 5/2 or 2.5.