Question

A regtangular grassy lawn measuring 50m by 30m is been surrounded externally by a path , which is 3.5 m wide. Find the cost of leveling the path at rate of Rs.5 per sq. Metre

Answer 1

Length ($l$) = 50 metres

Breadth ($b$) = 30 metres

Width = 2 metres

Length of the lawn including the path = 50m + 3.5m + 3.5m

Length of the lawn including the path = 57 metres   ($L$)

Breadth of the lawn including the path = 30m + 3.5m + 3.5m

Breadth of the lawn including the path = 37 metres   ($B$)

Area of path = Area of lawn including path - Area of lawn

Area of path = ($L$×$B$) - ($l$×$b$)

Area of path = (57×37) - (50×30)

Area of path = 2109 - 1500

Area of path = 609 m²

Cost of levelling  the path per m² = Rs. 5

Cost of levelling the path = 609 × 5

Cost of levelling the path = Rs. 3045

$Amannnscharlie$