A city has two main roads which cross each other at the centre of the city. These two roads Class 9

A city has two main roads which cross each other at the centre of the city. These two roads Class 9

Question 1.

A city has two main roads which cross each other at the centre of the city. These two roads are along the North-South (N-S) direction and East-West (E-W) direction. All the other streets of the city run parallel to these roads and are 200 m apart. There are 10 streets in each direction.

i. Using 1 cm = 200 m, draw a model of the city in your notebook. Represent the roads/streets by single lines.

ii. There are street intersections in the model. Each street intersection is formed by two streets- one running in the N-S direction and another in the E-W direction. Each street intersection is referred to in the following manner: If the second street running in the N-S direction and 5th street in the E-W direction meet at some crossing, then we call this street intersection (2, 5). Using this convention, find:

a. how many street intersections can be referred to as (4, 3).

b. how many street intersections can be referred to as (3, 4).

Solution:

The Street plan is shown in figure given below. Both the cross-streets are marked in the figure. They are uniquely found because of the two reference lines used for locating cross-street.

i. We have used two reference lines for locating cross street. There is only one cross street which can be referred as (4, 3)

ii. Similarly, only one cross street which can be referred as (3, 4).