Scale factor for the dimensions of the gymnasium on the blue print will be represented by the expression,
Scale factor = [tex]\frac{\text{Dimension of the blueprint}}{\text{Dimension of the original}}[/tex]
Length of the gymnasium = [tex]96[/tex] feet
Length of the gymnasium on the blueprint = [tex]5.5[/tex] inches
Therefore, scale factor for the blueprint = [tex]\frac{5.5}{96}[/tex]
= [tex]0.0573[/tex]
If the width of the gymnasium = [tex]75[/tex] feet
For the width on the blueprint,
[tex]0.0573=\frac{\text{Width on the blueprint}}{75}[/tex]
Width on the blueprint = [tex]4.29[/tex]
≈ [tex]4.3[/tex] inches
Therefore, width of the gymnasium on the blueprint will be [tex]4.3[/tex] inches.
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