Question

A rectangular grassy lawn measuring 40 m by 25 m is to be surrounded externally by a path

which is 2 m wide. Calculate the cost of leveling the path at the rate of Rs 8.25 per square meter.​

Answer 1

Given :- ↴

$Area \: of \: the \: lawn = (40 \times 25) \: {meter}^{2}$

$45 \times 25 = 1000 \: {m}^{2}$

Width of Path = 2 metres

Now : ↴

New Length = 40 + 2 × 2m 40 + 2 × 2m = 44 m

New Breadth = 25 + 2 × 2m

25 + 2 × 2m = 29 m

Now the Area = 44 * 29 Square meter.

$= 1876 \: {meter}^{2}$

Area of the Path : ↴

1876 - 1000 Sq . m

1876 - 1000 Sq . m = 876 sq. m

Cost of leveling : ↴

Rs 8.25 × 876

Answer : Rs . 7427