Question

A rectangular grassy lawn measuring 50m by 30m is to be surrounded externally by a path, which is 3 wide. Find the cost of the levelling the path at the rate of Rs 5 per sq. m?​

Answer 1

Answer:- 6345

step by step :- 50-3= 47

30-3=27

47 * 27 = 1269

1269 * 5 = 6345 sq. m

Answer 2

Given:

The length of the lawn = 50m

The breadth of the lawn = 30m

The width of the path = 3m

Cost of leveling = Rs.5/$m^{2}$

The Find:

The total cost of leveling

Solution:

The area of the lawn :

= length × breadth

= 50m × 30m

= 1500$m^{2}$

After surrounding the lawn by the path,

The new length :

= 50 + 3 + 3

= 56m

The new breadth :

= 30 +3 +3

= 36m

The total area :

= 56 × 36

= 2016$m^{2}$

The area of the path :

= the total area - the area of the lawn

= 2016 - 1500

= 516$m^{2}$

The cost of leveling the path :

= area of the path × cost per sq m

= 516 × 5

= Rs. 2580

The cost of leveling the path is Rs. 2580