Question

you are recreating a scale drawing at a different scale. The orginal scale is 1 cm : 4m The new scale is 1cm : 2cm. In the original drawing, the length of a segment is 7 cm. How long should the segment represnting the same distanc be in the new drawing?

Answer 1

14 cm

Explanation:

step 1

Find the actual length of the segment

we know that

The original scale is 1 cm : 4m

In the original drawing, the length of a segment is 7 cm

therefore

Let

x ----> the actual length of the segment

by proportion

1/4=7/x

x=4*7

x=28 m

step 2

Find the length of the segment in the new drawing

The new scale is 1cm : 2m

Let

x ---> the length of the segment in the new drawing

by proportion

Remember that

The actual length is 28 m

1/2=x/28

x=28/2

x=14 cm