A rectangular garden is 30 meter long and 20 meter broad. It has 6 met...
To find the total area of the pavements, we need to calculate the area of the outer pavement and subtract the area of the inner pavement.
Given:
Length of the rectangular garden = 30 meters
Breadth of the rectangular garden = 20 meters
Width of the pavement = 6 meters
Finding the area of the outer pavement:
To find the area of the outer pavement, we need to add the width of the pavement to the length and breadth of the garden.
Length of the garden including pavement = 30 meters + 2 * 6 meters (since there are pavements on both sides)
= 30 meters + 12 meters
= 42 meters
Breadth of the garden including pavement = 20 meters + 2 * 6 meters
= 20 meters + 12 meters
= 32 meters
Area of the outer pavement = Length of the garden including pavement * Breadth of the garden including pavement
= 42 meters * 32 meters
= 1344 square meters
Finding the area of the inner pavement:
To find the area of the inner pavement, we need to subtract the width of the pavement from the length and breadth of the garden.
Length of the garden excluding pavement = 30 meters - 2 * 6 meters
= 30 meters - 12 meters
= 18 meters
Breadth of the garden excluding pavement = 20 meters - 2 * 6 meters
= 20 meters - 12 meters
= 8 meters
Area of the inner pavement = Length of the garden excluding pavement * Breadth of the garden excluding pavement
= 18 meters * 8 meters
= 144 square meters
Finding the total area of the pavements:
Total area of the pavements = Area of the outer pavement - Area of the inner pavement
= 1344 square meters - 144 square meters
= 1200 square meters
Therefore, the total area of the pavements is 1200 square meters, which is represented by option 'C'.