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

Answer 1

Area of rectangular lawn=l*b=45*20=900m2
New length =45+3+3=45+6=51m
New breadth =20+3+3=20+6=26
New Area =l*b==51*26=1326m2
Area of path =1326-900=426m2
cost of levelling =426*2.5=1065rupees

Answer 2

Answer: Cost of levelling is Rs. 1065.

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

$Area=Length\times Breadth\\\\Area=45\times 20\\\\Area=900\ m^2$

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

$Area=51\times 26\\\\Area=1326\ m^2$

So, Area of path = Area of outer rectangle - Area of rectangular grassy lawn

$Area=1326-900=426\ m^2$

Cost of per sq. m = Rs. 2.50

So, Total cost of levelling the path is given by

$426\times 2.50\\\\=Rs.1065.$

Hence, Cost of levelling is Rs. 1065.