Maps are used to display a wide variety of information. Reading a map can help us to solve many problems in travel such as planning, for travel, place of visit. Let us, learn how to find the shortest possible route in a map.

**ROUTE
MAP**

** **

**Situation 1**

Maps are used to display a wide variety of information.
Reading a map can help us to solve many problems in travel such as planning, for
travel, place of visit. Let us, learn how to find the shortest possible route in
a map.

Answer the following questions using The Arignar
Anna Zoological Park map :

1. To visit the chimpanzee area, from the entrance,
one has to go straight and turn towards ** Left** ( Left / Right )

2. Choose the right option among the following,
which indicates the animals lying West and East of an Elephant.

(i) Deer ← Elephant → Crocodile

(ii)
Tiger ← Elephant → Deer

Answer: (i) **✓****Deer **←** Elephant → Crocodile**

3. One can see giraffe only after seeing zebra.
Is it true?**(True)**

4. In the given map , list the names of 6 animals that are seen in the zoo

1. ** Deer** 2.

4. ** Elephant** 5.

5. Mention any two animals that are seen in the
south side of the zoo.

__Zebra and Giraffe__

6. The entrance of the zoo is located at ** west** direction of the map.

7. List three animals located at eastern side of
the map.

**Crocodile, Snake and Tortoise**

The above situation shows how the route map guides
one to visit a new place.

** **

**Situation 2**

This situation familiarizes one to read the road
map. In the Fig.6.25 various places like school, park, house, hotel and so on are
connected through roads.

Find the distance using the scale.

1. Find the distance of the library from the house?

2. Find the distance that Chandru travels from school
to his house via library?

3. Find the distances from the children’s park to
school and park to house. Which is the shortest distance?

**Solution:**

1. Library is at the
distance of 10 units from the house.

Therefore, 10 × 100* m *= 1000 m (1 unit = 100 m)

2. Distance from school to library is 11 units

Therefore, 11 × 100
m = 1100 m (1 unit = 100 m)

Distance from library to house is 10 units

Therefore, 10 × 100
m = 1000 m (1 unit = 100 m)

Therefore, Total distance
travelled by Chandru = 1100+1000 = 2100
m

3. The distance from
the children’s park to school is 11 units

Therefore, 11 × 100
= 1100 m (1 unit = 100 m)

The distance from the children’s park to house is
12 units

Therefore, 12 × 100
= 1200 m (1 unit = 100 m)

Therefore, Distance
from the children’s park to school is shorter than the other one.

For the benefit of visitors, the Arignar
Anna Zoological Park, Vandalur has introduced the live streaming on the whereabouts
of animals in the web link *(https://www.aazp.in/live-streaming/)***
**

** **

__1.
To find the “Shortest “ route__

Often, we face with situations where we have to
decide the shortest way of travel from a certain point **A** to another point **B**.

A route map helps us to choose the way suitable
for our purpose or need. Let us see some examples of how we select the shortest
route.

** **

__Example 6.3__

Madhan has to go to Karur from Coimbatore for an
official visit. On his onward journey, he goes via Vellakoil to reach Karur. While
returning to Coimbatore he travels via Erode. Both the routes travelled by him are
given in the Fig. 6.26. Find the shortest route?

**Solution:**

Distance travelled by Madhan from

Coimbatore to Karur via Vellakoil = 131 km

Distance travelled by Madhan from

Karur to Coimbatore via Erode = 66 + 101 = 167*
km *

Therefore, the route
via Vellakoil is the shortest route.

** **

__Example 6.4__

A telephone exchange worker wants to give the telephone
connection to Amutha's house. Fig.6.27 shows all the possibilities of cable connections.
Find the route which requires minimum cable?

*Solution*

Distance from A to D =7 m

Distance from A to D (via B) = 4+5 = 9* m *

Distance from A to D (via C) = 2+6 = 8 m

Therefore, the route directly from A to D requires minimum cable of length 7 m.

** **

**Try these**

**1. Observe the picture and answer the following**

**(i) Find all the possible routes from house to school via fire station**

Routes from house to school via fire station.

**Route 1 :** House → Fire station → Library → Fruit ship → School

300 m
+ 50 m + 100 m + 150 m = **600 m**

**Route 2 :** House → Fire station → Library → School

300 m
+ 50 m + 200 m = **550 m**

**(ii) Find all the possible routes between central park and school
with distance. Mention the shortest route?**

**Route 1 :** Central park → Hotel → Fruit shop → School

100 m +
300 m + 150 m = **550 m**

**Route 2 :** Central park **→ **Library
→ Fruit shop → School

200 m + 100 m + 150 m = **450 m**

**Route 3 :** Central park → Library → School

200 m +
200 m = **400 m**

**Route 4 :** Central park → house →Fire station →Library → Fruit shop → School

150 m +
300 m + 50 m + 100 m + 150 m = **750 m**

**Route 5 :** Central park → house → Fire station Library → School

150 m +
300 m + 50 m + 200 m = **700 m **

**Route 6 :** Central park → house → Bank → Hotel → Fruit shop → School

150 m +
200 m + 150 m + 300 m + 150 m = **950 m **

From central park to school via library fire station is the
shortest route.

**(iii) Calculate the shortest distance between bank and school.**

Bank → Hotel → Fruit shop → School

150 m + 300 m + 150 m = 600 m

**2. A school has planned for a trip to Ooty. Using the route map,
the school decides to visit the places such as Boat House, Adam Founatian and Botanical
Garden.**

**(i) How much distance you have to travel to Botanical Garden from
Ooty Boat House?**

**Solution:**

(i) (a) 700 m + 8.1 km = 700 m + (8 km + 100 m) = 8 km + 800 m =
8.8 km

(b) 700 m+ 1.7 km + 1.5 km = 700 m + (1 km, 700 m) + 1 km 500 m

= 2 km + 1900 m

= 2 km + 1 km + 900 m

= 3 km + 900 m

= 3.9 km

From the Ooty Boat House, the Botanical Garden is at a distance
of 3.9 km(shortest)

**(ii) Find the shortest route to Botanical from the Ooty Main Bus
Stand.**

(ii) The route from
Botanical Garden from Ooty main Bus stand are

(a) Ooty main Bus stand ➝ Boat house ➝ Government Botanical garden
Distance 1.5 km + 8.1 km + 700 m

= 1 km 500 m + 8 km 100 m + 700 m

= 9 km 1300 m

= 9 km + 1 km +300 m

= 10 km 300 m

= 10.3 km.

(b) Another route.

Ooty Main Bus stand ➝ Adam Fountain ➝ Botanical garden.

Distance = 1.7 + 700 m

= 1 Km 700 m + 700m

= 1 Km 1400 m

= 1 Km+ 1 Km 400 m

= 2 Km 400 m

= 2.4Km

∴ Shortest Route is Ooty main Bus stand ➝ Adams Foundation ➝ Botanical garden

**(iii) Mention the direction of Botanical Garden from Adam Fountain.**

Solution: Botanical garden is north
of Adam Foundation.

**(iv) In what direction, Ooty Boat House is situated from Ooty Main
Bus Stand.**

Solution: Ooty Boat House is situated
to the west of Ooty main bus bus stand.

**(v) Complete the following route map from Ooty Main Bus Stand to
Botanical Garden.**

Answer:

**Encourage students to plan for a trip to some more places using map.**

Tags : Information Processing | Term 1 Chapter 6 | 7th Maths , 7th Maths : Term 1 Unit 6 : Information Processing

Study Material, Lecturing Notes, Assignment, Reference, Wiki description explanation, brief detail

7th Maths : Term 1 Unit 6 : Information Processing : Route Map | Information Processing | Term 1 Chapter 6 | 7th Maths

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