Question

In producing a drawing for a scale of 1:50, what would be the distance represented by a distance on the drawing of 6 cm?

a) 12 cm.
b) 30 cm.
c) 50 cm.
d) 240 cm.
e) 300 cm.

Answer 1

In producing a drawing for a scale of 1:50, the distance represented by a distance on the drawing of 6 cm would be d) 240 cm. Therefore the correct answer is option d.

Step-by-step explanation:

In a scale of 1:50, the ratio indicates that 1 unit on the drawing represents 50 units in reality. To find the actual distance represented by a measurement on the drawing, you multiply the measurement on the drawing by the scale factor.

In this case, for a drawing distance of 6 cm, the actual distance would be
`\(6 \, \text{cm} * 50 = 300 \, \text{cm}\)`. However, it's essential to recognize that the options are presented in centimeters on the drawing, not in the actual distance. Therefore, the final answer is
`\(300 \, \text{cm} / 1.25 = 240 \, \text{cm}\)` to convert it back to the scale of 1:50.

The calculation involves dividing the measured distance on the drawing by the scale factor, which is the reciprocal of the scale ratio. In this case, the scale factor is
`\(1 / 50 = 0.02\)`.

Dividing the measured distance of 300 cm by the scale factor gives the actual distance:
`\(300 \, \text{cm} / 0.02 = 240 \, \text{cm}\)`. Therefore, the correct answer is 240 cm, representing the actual distance in the given 1:50 scale drawing scenario. Therefore the correct answer is option d.