A ground consists of a square garden and pathway of uniform width. If the pathway covers an area of 20 sq. m, what is its width(in m)?

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Solution

The correct option is A 1
Area of the garden = 4 x 4 = 16 sq. m
Area of the pathway = 20 sq. m
Area of the ground including the garden and pathway = 20 + 16 = 36 sq. m

As the garden is a square, and the pathway has uniform width, so the ground will also be a square.

Area of ground = Side of ground x Side of ground
36 = Side of ground x Side of ground
Side of ground = 6 m

Width of the pathway + 4 + Width of the pathway = 6
Width of the pathway x 2 = 6 - 4
Width of the pathway = 2 ÷ 2 = 1 m.

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