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The length and breadth of a rectangular plot are I and b. Two rectangular paths each of width W run inside the plot one parallel to the length and the other parallel to the breadth. What is the total area of the paths?
  • a)
    (l + w)(b + w) − lb
  • b)
    lb − (l − w)(b − w)
  • c)
    (l + b − w)w
  • d)
    lb − (l − 2w)(b − 2w)
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The length and breadth of a rectangular plot are I and b. Two rectangu...

Area of the path along length = l×w
Area of the path along breadth = l×w
The common area of the paths = w2
∴ Total area of the path = lw+lw−w2 = (l+b−w)w
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Most Upvoted Answer
The length and breadth of a rectangular plot are I and b. Two rectangu...
The length of the rectangular plot is I and the breadth is b. The width of the first path is W and it runs parallel to the length, so it will have a length of I and a breadth of W. The width of the second path is also W, and it runs parallel to the breadth, so it will have a length of b and a breadth of W.

The area of the first path is I * W = I * W.
The area of the second path is b * W = b * W.

To find the total area of the paths, we add the areas of the two paths together:
Total area = I * W + b * W

Therefore, the total area of the paths is (I + b) * W.

So the correct answer is (a) (I + b) * W.
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The length and breadth of a rectangular plot are I and b. Two rectangular paths each of width W run inside the plot one parallel to the length and the other parallel to the breadth. What is the total area of the paths?a)(l + w)(b + w) − lbb)lb − (l − w)(b − w)c)(l + b − w)wd)lb − (l − 2w)(b − 2w)Correct answer is option 'C'. Can you explain this answer?
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