Question

CONNECT ITUse the problem from the previous page to help you understand how to findactual lengths from a scale drawing.1 How far, in feet, are the library, town hall, and train station from the school?2 Look at the first Model It. How does the double number line show the scalefactor you can use to find an actual distance, given the distance on the map?Look at the sacond

Answer 1

The actual distance of the street is

Library= 875 feet

Train station = 1000 feet

Townhall = 1,125 feet

Explanation:

The initial distance of the streets from the school is given as

Library = 3.5cm

Train station = 4cm

Townhall = 4.5cm

The scale drawing of the map is given as 2cm: 500ft

For library

The initial distance = 3.5cm

The scale drawing on the map is 2cm : 500ft

The real distance can be calculated as follows

Let the distance be l

2 = 500

3.5 = l

Cross multiply

2*l = 500 * 3.5

2l = 1750

Divide through by 2

2l/2 = 1750/2

l = 875 ft

The library is 875 feet far from school to the library

For Train station

Let the distance in feet be t

The initial distance is 4cm

2 : 500

4 : t

Cross multiply

2*t = 500 * 4

2t = 2000

Divide through by 2

2t/2 = 2000/2

t = 1000

The train station is 1000 ft far from the school

For townhall

Let h represents the distance of the town hall

The initial length is 4.5 cm

2 =500

4 = h

Cross multiply

2 * h = 4.5* 500

2h = 2250

Divide through by =

2h/2 = 2250 /2

h = 1, 125 feet