The dimension of a rectangular field is 100 metre by 60m. draw the diagram of the field using a scale of 1cm:12m?
1 Answer
The correct dimensions of the diagrams are 8.33cm by 5cm, which can be drawn with a ruler.
Explanation:
(Since the question wants the diagram drawn to scale, you need a metric ruler. Also, you need to know how to do unit conversions.)
We're given the scale, which is 1cm:12m. This means that every 1 centimeter on the diagram corresponds to 12 meters in real life.
To scale down the rectangular field, use the scale as a unit conversion for each dimension, length and width:
Notice the "12m" is on the bottom so that the meters cancel out in the top and the bottom. Now for the 60m:
Okay, so now we have the dimensions for the diagram! Use the ruler to draw a rectangle with the dimensions 8.33cm by 5cm and don't forget to label which one's which!
(For this problem, it wasn't that bad because all we had to do was divide by 12 and change it to cm. However, if it were a different problem, we could still use this same method to find the right answer.)
