a rectangular grassy lawn measuring 45m by 20m is to be surrounded by a path which is 3m wide. calculate the cost of levelling the path at the rate of ₹2.50 per sq.m.
Answers
Answer:
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Step-by-step explanation:
Since we have given that
Length of a rectangular grassy lawn = 45 m
Width of a rectangular grassy lawn = 20 m
Area of rectangular grassy lawn is given by
\begin{gathered}Area=Length\times Breadth\\\\Area=45\times 20\\\\Area=900\ m^2\end{gathered}
Area=Length×Breadth
Area=45×20
Area=900 m
2
Now, According to question, A rectangular grassy lawn is surrounded by a path which is 3 m wide.
So, New length of outer rectangle = 45+3+3=51 m
New breadth of outer rectangle = 20+3+3 = 26 m
So, Area of outer rectangle is given by
\begin{gathered}Area=51\times 26\\\\Area=1326\ m^2\end{gathered}
Area=51×26
Area=1326 m
2
So, Area of path = Area of outer rectangle - Area of rectangular grassy lawn
Area=1326-900=426\ m^2Area=1326−900=426 m
2
Cost of per sq. m = Rs. 2.50
So, Total cost of levelling the path is given by
\begin{gathered}426\times 2.50\\\\=Rs.1065.\end{gathered}
426×2.50
=Rs.1065.
Hence, Cost of levelling is Rs. 1065.
Answer:
₹1065
Step-by-step explanation:
Area of rectangle lawn = L *B = 45*20=900m2
new length =45+3+3=45+6=51m
new breath =20+3+3=20+6=26
new area =l *b =51*26 =1326m2
area of path =1326 - 900=426m2
cost leveling =426 * 2.5=1065
so answer =₹1065
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