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A rectangular garden is 30 meter long and 20 meter broad. It has 6 meter wide pavements all around it both on its inside and outside. Find the total area of pavements?
  • a)
    800
  • b)
    1000
  • c)
    1200
  • d)
    1600
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A rectangular garden is 30 meter long and 20 meter broad. It has 6 met...
Required area = 42*32 – 18*8 = 1200
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Most Upvoted Answer
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'.
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