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(i) A footpath of uniform width runs ...

(i) 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 `m^(2)`, find the width of the path .
(ii) A carpet is laid on the floor of a room 8m by 5m , there is a border of constant width all around the carpet . If the area of the border is `12 m^(2)` , find its width .

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