Question

a building has a height of 120 centimeters in the length of 90 centimeters on a scale drawing of the building. The height is 15 centimeters

Answer 1

To find the scale of the drawing in relation to the actual building height and length, we can set up a ratio based on the measurements given.

**Actual building dimensions:**
- Height = 120 cm
- Length = 90 cm

**Scale drawing dimensions:**
- Height in scale = 15 cm

The scale is determined by comparing the real dimensions to the scale dimensions.

1. **Finding the scale ratio for height:**

\[
\text{Scale ratio for height} = \frac{\text{Scale height}}{\text{Actual height}} = \frac{15 \text{ cm}}{120 \text{ cm}} = \frac{1}{8}
\]

2. **Finding the scale ratio for length:**

We will calculate the scale length in the drawing by using the same ratio:

Using the same scale ratio of \( \frac{1}{8} \), we can find the scale length:

\[
\text{Scale length} = \text{Actual length} \times \text{Scale ratio} = 90 \text{ cm} \times \frac{1}{8} = 11.25 \text{ cm}
\]

So, for your scale drawing:
- The height is 15 cm,
- The length would be 11.25 cm.

Thus, the final scale ratio for your drawing can be expressed as 1:8.