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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?

1 Answer

7 votes

Answer:


9\ \text{inches}

Explanation:


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

So
1\ \text{inch} of the blueprint =
(3)/(2)\ \text{feet} of the actual concrete patio

Width of the patio in the blueprint is
12\ \text{inches}.

So
12\ \text{inches} of the blueprint =
12* (3)/(2)=18\ \text{feet} of the actual concrete patio.

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


1\ \text{feet} of the actual concrete patio =
(1)/(2)\ \text{inch} of the new bluprint.

So,
18\ \text{feet} of the actual concrete patio =
(18)/(2)=9\ \text{inches} of the new blueprint.

User Crocobag
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