Procedure 7191

I have a board measuring 3.2 m x 1.23 m, and I need to draw it in A3 format. It is 42 cm x 29.7 cm. How do I find out the ratio for drawing the board? I will also ask for the procedure.

Correct answer:

m =  7.619

Step-by-step explanation:

$$\begin{gathered} a_1=3.2\text{m}\to \text{cm}=3.2\cdot 100\text{cm}=320\text{cm} \\ {b}_1=1.23\text{m}\to \text{cm}=1.23\cdot 100\text{cm}=123\text{cm} \\ {a}_2=42\text{cm} \\ {b}_2=29.7\text{cm} \\ {m}_1=a_1/a_2=320/42=\frac{160}{21}=7\frac{13}{21}\doteq 7.619 \\ {m}_2=b_1/b_2=123/29.7=\frac{410}{99}=4\frac{14}{99}\doteq 4.1414 \\ {m}_1<>m_2 \\ m=m_1=7.619 \end{gathered}$$

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