A footpath of uniform width runs all around the inside of a rectangular field 54 m long and 35 m wide. If the area of the path is 420 m2., find the width of the path.
Area of the rectangular field =
Let the width of the path be x m. The path is shown in the following diagram:
Length of the park excluding the path = (54 2x) m
Breadth of the park excluding the path = (35 2x ) m
Thus, we have:
Area of the path = 420 m2
The width of the path cannot be more than the breadth of the rectangular field.
∴ x = 2.5 m
Thus, the path is 2.5 m wide.
Let the width of the path be x m. The path is shown in the following diagram:
Length of the park excluding the path = (54 2x) m
Breadth of the park excluding the path = (35 2x ) m
Thus, we have:
Area of the path = 420 m2
The width of the path cannot be more than the breadth of the rectangular field.
∴ x = 2.5 m
Thus, the path is 2.5 m wide.