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The blueprint of a concrete patio has a scale of 2 inches = 3 feet. On this blueprint, the width of the patio is 12 inches. You want to create a NEW blueprint using a scale of 1 inch = 2 feet. What will be the width of the patio on your new blueprint?

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boffeemadrid

Answer:

[tex]9\ \text{inches}[/tex]

Step-by-step explanation:

[tex]2\ \text{inches}[/tex] of the blueprint is [tex]3\ \text{feet}[/tex] of the actual concrete patio.

So [tex]1\ \text{inch}[/tex] of the blueprint = [tex]\dfrac{3}{2}\ \text{feet}[/tex] of the actual concrete patio

Width of the patio in the blueprint is [tex]12\ \text{inches}[/tex].

So [tex]12\ \text{inches}[/tex] of the blueprint = [tex]12\times \dfrac{3}{2}=18\ \text{feet}[/tex] of the actual concrete patio.

Now for the new blueprint [tex]1\ \text{inch}=2\ \text{feet}[/tex] of the actual concrete patio.

[tex]1\ \text{feet}[/tex] of the actual concrete patio = [tex]\dfrac{1}{2}\ \text{inch}[/tex] of the new bluprint.

So, [tex]18\ \text{feet}[/tex] of the actual concrete patio = [tex]\dfrac{18}{2}=9\ \text{inches}[/tex] of the new blueprint.

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