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A rectangular ground 16m long and 10m breadth. It has a gravel path 2.5m wide all around it on the outside. What is the area of the path?
- a)159 m²
- b)155 m²
- c)187 m²
- d)183 m²
- e)None of the Above
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A rectangular ground 16m long and 10m breadth. It has a gravel path 2....
Area of ground = 16 * 10 = 160
Total area (ground + path) = (16 + 5)*(10 + 5) = 315
Area of path = 315 – 160 = 155 m²
Total area (ground + path) = (16 + 5)*(10 + 5) = 315
Area of path = 315 – 160 = 155 m²
Most Upvoted Answer
A rectangular ground 16m long and 10m breadth. It has a gravel path 2....
To find the area of the path, we need to subtract the area of the inner rectangle (without the path) from the area of the outer rectangle (with the path).
The area of the outer rectangle is given by the length multiplied by the breadth:
Area of outer rectangle = 16m * 10m = 160m²
The area of the inner rectangle is the length and breadth reduced by twice the width of the path on each side:
Length of inner rectangle = 16m - 2(2.5m) = 16m - 5m = 11m
Breadth of inner rectangle = 10m - 2(2.5m) = 10m - 5m = 5m
Area of inner rectangle = 11m * 5m = 55m²
Therefore, the area of the path is:
Area of path = Area of outer rectangle - Area of inner rectangle
Area of path = 160m² - 55m²
Area of path = 105m²
So the area of the path is 105 square meters.
The area of the outer rectangle is given by the length multiplied by the breadth:
Area of outer rectangle = 16m * 10m = 160m²
The area of the inner rectangle is the length and breadth reduced by twice the width of the path on each side:
Length of inner rectangle = 16m - 2(2.5m) = 16m - 5m = 11m
Breadth of inner rectangle = 10m - 2(2.5m) = 10m - 5m = 5m
Area of inner rectangle = 11m * 5m = 55m²
Therefore, the area of the path is:
Area of path = Area of outer rectangle - Area of inner rectangle
Area of path = 160m² - 55m²
Area of path = 105m²
So the area of the path is 105 square meters.
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A rectangular ground 16m long and 10m breadth. It has a gravel path 2.5m wide all around it on the outside. What is the area of the path?a)159 m²b)155 m²c)187 m²d)183 m²e)None of the AboveCorrect answer is option 'B'. Can you explain this answer?
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