The area of a square Park is 400m2 . There is a path 2.5m wide running all around it. Find the cost of levelling the path at ₹30per square metre
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Step-by-step explanation:
Area of square gardens = 400m^2
Then, side =
\sqrt{400}
400
=20m is side of garden from out side
But there is a path of 2.5m all around inside it
\begin{gathered}we \: have \: to \: subtract \: 2.5 + 2.5 \: from \: 20m \: \\ \end{gathered}
wehavetosubtract2.5+2.5from20m
{(20-(2.5+2.5)} m =15m is side of new square
area \: of \: path \: = {area \: of \: garden} \: - area \: of \: new \: squareareaofpath=areaofgarden−areaofnewsquare
Area of path = {400 - (15×15)}m^2
= {400-225}m^2
=175 m^2
Cost of path per Rs 30
=175 ×30
=5250 Rs
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