Question

1. There are two differnt maps of Ohio. The scale on the first map is 1 cm to 10 km. The distance from Cleveland to Cincinnati is 40 km. The scale on the second map is 1 cm to 50 km. What is the distance from Cleveland to Cincinnati on the second map?

2. Elena wants to make a scale drawing of her bedroom. Her bedroom is a rectangle with length 5 m and width 3 m. She decides on a scale of 1 to 50 . Elenas bedroom door is 0.8 m wide. How wide should the door be on the scale drawning?

Answer 1

1. 0.8 cm

2. 1.6 cm

Explanation:

1.

The scale for 2nd map is 1 cm to 50 km, that means "1 cm on map" is "50 km in real life".

We already know distance from Cleveland to Cincinnati is 40 km, which is less than 50, so we know the distance on map would be less than 1 cm.

So we set up ratio and figure out (let x be distance on map from Cleveland to Cincinnati):

`(1)/(50)=(x)/(40)\\50x=40\\x=(40)/(50)\\x=0.8`

Hene, 0.8 centimeters would be the distance in 2nd map

2.

A scale of 1:50 means 1 cm equal 50 cm

So, 0.8m would be

0.8 * 100 = 80 cm

Hence, 80 cm would be represented by 80/50 on the map, that is:

`(80)/(50)=1.6`

That is 1.6 centimeters