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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.

(Street Plan): A city has two main roads which cross each other at the center of the city. These two roads are along the North-South direction and East-West direction. All the other streets of the city run parallel to these roads and are 200 m apart. There are 5 streets in each direction. Using 1cm = 200 m, draw a model of the city on your notebook. Represent the roads/streets by single lines.
There are many cross-streets in your model. A particular cross-street is made by two streets, one running in the North-South direction and another in the East-West direction. Each cross street is referred to in the following manner : If the 2nd street running in the North-South direction and 5th in the East-West direction meet at some crossing, then we will call this cross-street (2, 5). Using this convention, find:
(i) how many cross-streets can be referred to as (4, 3).
(ii) how many cross-streets can be referred to as (3, 4).

Solution:

Let us draw two perpendicular lines as the two main roads of the city that cross each other at the center. Let us mark them as North-South (represented with N and S) and East-West (represented with E and W).

As given in the question, let us take the scale as 1 cm = 200 m.

Draw five streets parallel to both the main roads (which intersect) to get the given figure below.

The street plan is as shown in the figure:

(Street Plan): A city has two main roads which cross each other at the center of the city. These two roads are along the North-South direction and East-West direction. All the other streets of the city run parallel to these roads and are 200 m apart. There are 5 streets in each direction. Using 1cm = 200 m, draw a model of the city on your notebook. Represent the roads/streets by single lines.There are many cross-streets in your model. A particular cross-street is made by two streets, one running in the North-South direction and another in the East-West direction. Each cross street is referred to in the following manner : If the 2nd street running in the North-South direction and 5th in the East-West direction meet at some crossing, then we will call this cross-street (2, 5). Using this convention, find:(i) how many cross-streets can be referred to as (4, 3).(ii) how many cross-streets can be referred to as (3, 4).

We can conclude from the given graph that:

(i) There is only one cross street, referred to as (4, 3).

(ii) There is only one cross street, referred to as (3, 4).

☛ Check: NCERT Solutions Class 9 Maths Chapter 3

Video Solution:

(Street Plan): A city has two main roads which cross each other at the center of the city. These two roads are along the North-South direction and East-West direction. All the other streets of the city run parallel to these roads and are 200 m apart. There are 5 streets in each direction. Using 1cm = 200 m, draw a model of the city on your notebook. Represent the roads/streets by single lines.There are many cross-streets in your model. A particular cross-street is made by two streets, one running in the North-South direction and another in the East-West direction. Each cross street is referred to in the following manner : If the 2nd street running in the North-South direction and 5th in the East-West direction meet at some crossing, then we will call this cross-street (2, 5). Using this convention, find:(i) how many cross-streets can be referred to as (4, 3).(ii) how many cross-streets can be referred to as (3, 4).

NCERT Solutions Class 9 Maths Chapter 3 Exercise 3.1 Question 2

Summary:

The street plan is shown in the diagram using the given information. There is only one cross-street, which can be referred to as (4, 3), and only one cross-street, which can be referred to as (3, 4).

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