When making a scale drawing of a school, a scale of 1cm to 8 metres is used. What would be the actual length of a wall that is 16cm on the drawing?
Using the given scale of 1cm to 8 metres, we can set up a proportion:
1 cm = 8 m
16 cm = x
Cross multiplying, we get:
1 * x = 8 * 16
x = 128
Therefore, the actual length of the wall is 128 metres.
To find the actual length of the wall, we can set up a proportion using the given scale. The proportion can be set up as:
1 cm / 8 m = 16 cm / x
To solve for x, we can cross multiply and then divide:
1 cm * x = 8 m * 16 cm
x = (8 m * 16 cm) / 1 cm
Simplifying the equation, we have:
x = 128 m
Therefore, the actual length of the wall is 128 meters.
To find the actual length of the wall, we need to use the given scale of 1cm to 8 meters.
Step 1: Determine the scale factor
The scale factor is the ratio of the actual length to the corresponding length on the drawing. In this case, the scale factor is 1cm to 8 meters. So, for every 1cm on the drawing, the actual length is 8 meters.
Step 2: Convert the length on the drawing to the actual length
The length of the wall on the drawing is 16cm. To find the actual length, we need to multiply the length on the drawing by the scale factor.
16cm * (8 meters / 1 cm) = 128 meters
Therefore, the actual length of the wall is 128 meters.