Question

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.

Answer 1

Answer:

I hope it will help you

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 2

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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