https://file.aiquickdraw.com/mathbot/file/1726456161486n0fnl1n1.jpg

Let's solve the two questions from the image you've uploaded:

### (a) Find the scale in the form 1 : n

The diagram shows a **scale drawing** of the front of a house, with the **actual length** given as **14.4 m**. To find the scale, we would need the length of the house in the drawing (which is not visible in the image you uploaded).

If the drawing provides a measurement (in centimeters, for example), then we can calculate the scale by comparing the **actual length** of 14.4 meters to the **drawing length** (in meters after conversion).

The formula for the scale is:

\[
\text{Scale} = \frac{\text{Length of the house in the drawing}}{\text{Actual length of the house}}
\]

Once we have this ratio, we can convert it into the form **1 : n**.

### (b) Find the actual height of the house

To find the actual height, we would need to know the height in the drawing (which isn't visible in the image). Then we can apply the same scale factor from part (a) to convert the drawing's height into the actual height.

The formula would be:

\[
\text{Actual Height} = \text{Height in the drawing} \times \text{Scale factor}
\]

Please confirm the lengths or share further details about the dimensions provided in the drawing so I can assist more precisely!

Would you like more details or explanations about these calculations?

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Here are 5 related questions to expand your understanding:
1. How do you determine the scale if the measurements in the drawing are in centimeters but the actual house measurements are in meters?
2. What would be the process if only the height of the house was given, and you needed to find the scale?
3. How does the unit conversion impact the scale factor when the drawing is not in the same units as the actual dimensions?
4. Can the scale factor vary if the drawing is not to scale in all directions (height vs. length)?
5. How can you verify the scale is consistent throughout a diagram?

**Tip:** Always ensure you are converting between units consistently (e.g., centimeters to meters) when comparing dimensions from a drawing and actual measurements.

The figure shows a scale drawing of the front of a house. The length of the house is 14.4 m. (a) Find the scale in the form 1 : n. (b) Find the actual height of the house.

Learn how to find the scale of a drawing and calculate the actual height of a house using proportions and scale factors. In this problem, the actual length of the house is 14.4 meters, and you are required to determine the scale in the form 1:n and the actual height.

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