A scale drawing of a rectangular field is 10 cm by 8.5 cm. if the actual field has dimensions of 40 meters by 34 meters, which could be the scale used for the drawing?
10 cm ---> 40 m
10cm ---> 4000 cm
1cm ----> 400 cm
scale is 1 : 400
To determine the scale used for the drawing, we can compare the dimensions of the drawing with the dimensions of the actual field.
The scale can be calculated by dividing the corresponding dimensions of the actual field and the scale drawing.
For example, to find the scale for the length of the field:
Scale for length = (Actual length of the field) / (Length of the scale drawing)
Scale for length = 40 meters / 10 cm
Before we proceed with the calculation, let's convert the units to the same type. As 1 meter is equal to 100 centimeters, we can convert the 40 meters to centimeters:
40 meters = 40 * 100 = 4000 cm
Now, we can calculate the scale:
Scale for length = 4000 cm / 10 cm = 400
So, the scale for the length of the field is 1:400.
We can perform a similar calculation to find the scale for the width of the field:
Scale for width = (Actual width of the field) / (Width of the scale drawing)
Scale for width = 34 meters / 8.5 cm
Again, let's convert the units to the same type:
34 meters = 34 * 100 = 3400 cm
Scale for width = 3400 cm / 8.5 cm = 400
Therefore, the scale for the width of the field is also 1:400.
Hence, the correct scale for the drawing is 1:400.