Question

A circular plot of diameter 28m is surrounded by a path of uniform width. If the area of the path is 346.5^2, find the width of the path.

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Answer 1

the width of the path is 2.81 m

Explanation:

given:

A circular plot of diameter 28m is surrounded by a path of uniform width

If the area of the path is 346.5^2

find:

the width of the path.

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dia of circle = 28m

let Si = side of inner square path = 28 m

let So = outer side of square path = ?

1st step

is to get the total area

At = area of path + area of inner square

At = 346.5 + (28 x 28)

At = 1130 m²

2nd step

get the outer side of square path So

At = So²

1130 = So²

So = √1130

So = 33.62 m

lastly solve the width of path:

Width (w) = (So - Si)/2

w = (33.62 m - 28 m) / 2

w = 2.81 m

therefore,

the width of the path is 2.81 m