SOMEONE PLEASE HELP ME (I have two questions and even if you only answer one that’s fine just please)

1. The scale of a map says that 2 cm represents 4 km. What distance on the map (in cm) represents an actual distance of 6 km?

2. Using the same scale from the previous question, (2 cm represents 4 km), What is the actual number of km that is represented by 5 cm on the map?

The answer to the first question is 3 cm

The answer to the second question is 10 km

1. 3 cm

2. 10 km

Step-by-step explanation:

1. 2 cm = 4 km

? cm = 6 km

6/4= 1.5   so 4*1.5=6

2*1.5=3 cm

2. 2 cm = 4 km

5/2=2.5       so 2*2.5=5

4*2.5= 10 km

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl