Question

What is the height of the poster?

___ cm

Scale drawing length:25 mm height: 40 mm

Actual poster length: 50cm. Height: ___ cm

Answer 1

To determine the actual height of the poster based on the scale drawing, we can set up a proportion using the given information.

The scale drawing has:
- Length: 25 mm
- Height: 40 mm

The actual poster has:
- Length: 50 cm
- Height: ___ cm (let's denote this as \( h \))

First, we should convert the lengths to the same unit. Since the actual poster length is given in centimeters (cm), we'll convert the scale drawing measurements to centimeters as well.

1. Convert the scale drawing length and height from mm to cm:
- 25 mm = 2.5 cm
- 40 mm = 4.0 cm

2. Now, we can set up the proportion based on the lengths:
\[
\frac{\text{Scale drawing length}}{\text{Actual poster length}} = \frac{\text{Scale drawing height}}{\text{Actual poster height}}
\]
\[
\frac{2.5 \text{ cm}}{50 \text{ cm}} = \frac{4.0 \text{ cm}}{h}
\]

3. Cross-multiply to solve for \( h \):
\[
2.5h = 50 \times 4.0
\]
\[
2.5h = 200
\]
\[
h = \frac{200}{2.5} = 80 \text{ cm}
\]

So, the height of the actual poster is **80 cm**.

Answer 2

What is the scale factor from the drawing to the actual airplane?

Scale drawing. Length: 12 in. Height 3 in.

Actual airplane length ____ ft height: 9 ft