12 Fill in the Blank 1 point
A student creates a scale model of a capitol building with a scale of 5 centimeters meters. If the actual height of the building is 228 meters, what is the height of
the scale model?
If the the actual height of the building is 228 meters, the height of the scale model is type your answer…

Question

12 Fill in the Blank 1 point
A student creates a scale model of a capitol building with a scale of 5 centimeters

meters. If the actual height of the building is 228 meters, what is the height of
the scale model?
If the the actual height of the building is 228 meters, the height of the scale model is type your answer…

UpStudy AI · Accepted Answer

To find the height of the scale model, we can use the given scale of 5 centimeters = 19 meters.

First, we need to set up a proportion based on the scale:

$$
\frac{5 \text{ cm}}{19 \text{ m}} = \frac{x \text{ cm}}{228 \text{ m}}
$$

Where $$ x $$ is the height of the scale model in centimeters.

Now, we can cross-multiply to solve for $$ x $$:

$$
5 \text{ cm} \times 228 \text{ m} = 19 \text{ m} \times x \text{ cm}
$$

Calculating the left side:

$$
5 \times 228 = 1140
$$

So we have:

$$
1140 = 19x
$$

Now, divide both sides by 19 to solve for $$ x $$:

$$
x = \frac{1140}{19} \approx 60
$$

Thus, the height of the scale model is approximately **60 centimeters**.
The height of the scale model is approximately 60 centimeters.

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