on a blueprint for s house front of the house is shown 12 in. wide and 14 in. tall if the front of the actual house is 30ft wide how tall is the house?

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Cross multiply and solve for x.

12/30 = 14/x

To solve this problem, you need to establish a ratio between the dimensions given on the blueprint and the actual dimensions of the house. Here's how you can do it:

1. Start by setting up a ratio between the width dimensions on the blueprint and the actual house:
Blueprint width / Actual width = Blueprint height / Actual height

Plugging in the values, we have:
12 in. / 30 ft = 14 in. / Actual height

2. Convert the units to make them consistent. Since 30 ft and 12 in. have different units, we need to convert them to the same unit. Let's convert everything to inches for simplicity:
12 in. / (30 ft * 12 in./ft) = 14 in. / Actual height

3. Simplify the ratio:
12 in. / (360 in.) = 14 in. / Actual height

4. Solve for Actual height:
(12 in. * Actual height) = (14 in. * 360 in.)
Actual height = (14 in. * 360 in.) / 12 in.

5. Calculate the height:
Actual height = 5040 in. / 12 in.
Actual height = 420 ft

Therefore, the house is approximately 420 ft tall.

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