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Brennan has an envelope that is $3$ inches tall. The envelope is $4\frac{1}{2}$ times as long as it is tall. How long is his envelope? $\newline$ Write your answer as a fraction or as a whole or mixed number. $\newline$ _____ inches

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Multiply mixed numbers: word problems

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Q. Brennan has an envelope that is

3

inches tall. The envelope is

4\frac{1}{2}

times as long as it is tall. How long is his envelope?

\newline

Write your answer as a fraction or as a whole or mixed number.

\newline

_____ inches

Identify Relationship: Step $1$ : Identify the relationship between the height and length of the envelope. $\newline$ The envelope's length is $4 \frac{1}{2}$ times its height. $\newline$ Height = $3$ inches. $\newline$ Length = $4 \frac{1}{2}$ times height. $\newline$ Calculation: $4 \frac{1}{2} \times 3 = \left(\frac{9}{2}\right) \times 3$
Perform Multiplication: Step $2$ : Perform the multiplication to find the length. $\newline$ Calculation: $(\frac{9}{2}) \times 3 = \frac{27}{2} = 13.5$ inches. $\newline$ This gives the length of the envelope as $13.5$ inches

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