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Bailey wants to add a room onto her patio using a ratio of 9 to 4 for its dimensions. If theaddition will be 10 feet wide, how long will the room be to the nearest tenth?

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We know that the ratio is 9 to 4.

Now, to find the answer, we have to use the following proportion


(9)/(4)=(l)/(10)

Then, we solve for the length


\begin{gathered} l=(9\cdot10)/(4) \\ l=22.5 \end{gathered}

Hence, the length is 22.5 feet.

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