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a map wall is 45 cm high and 27 cm wide. ashley wants to proportionately shrink so it's hight is 12 cm how wide would it be then

Sagot :

The proportion between the first measures is:

[tex]\frac{45}{27}[/tex]

Now, if we want to maintain the same proportion we need that the second map fullfils:

[tex]\frac{12}{x}[/tex]

Equating this proportions and solving for x we have:

[tex]\begin{gathered} \frac{45}{27}=\frac{12}{x} \\ x=\frac{12}{\frac{45}{27}} \\ x=\frac{36}{5} \\ x=7.2 \end{gathered}[/tex]

Therefore the width would be 7.2 cm