Question

*4. There is a rectangular plot whose length is 68 m and
breadth is 42 m. There are two paths in the middle
which are of equal width and parallel to the length
and breadth of the plot' respectively. The remaining
part of the plot excluding the paths is 2432 m².
What is the width of each path?
(1) 3m (2). 4m - (3) 2m
(4) 5m. (5) None of these​

Answer 1

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Let the width of the path be W m.

Area of the Path = Area of the Plot - Area of the plot excluding the path.

= 2856 m^2 - 2432 m^2 = 424 m^2.

Area of the path = 68W + 42W - W^2.

Hence, W^2 - 110W + 424 = 0.

Solving the quadratic equation, we get W = 106 m and 4 m.

106 m is not pheasable as the length of the plot is itself less than that value.

The width of the path is 4 m.

Hence, Option [2] is the correct option.