Question

A rectangular field is 96m in length and 42m in breadth. A path of uniform width 3m runs immediately inside its boundary. Find the cost of gravelling the path at RS.32 per square meter.

Answer 1

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$Length \: of \: garden =90m$

Breadth of garden =75m

Width of path =5m

Outer length =100m(90+5+5)

Outer breadth =85m(75+5+5)

Area of path = area of outer rectangle - area of inner rectangle

⇒(100⋅85)−(90⋅75) ⇒8500−6750=1750m2

Hence, area of rectangle 1= 1750 m^21 Now,

1hec=2592m2

Area of path in hec=1752592=675

Area of garden in hec=67502592=2.604

Answer 2

Length of garden =90m

Breadth of garden =75m

Width of path =5m

Outer length =100m(90+5+5)

Outer breadth =85m(75+5+5)

Area of path = area of outer rectangle - area of inner rectangle

⇒(100⋅85)−(90⋅75) ⇒8500−6750=1750m2

Hence, area of rectangle 1= 1750 m^21 Now,

1hec=2592m2

Area of path in hec=1752592=675

Area of garden in hec=67502592=2.604