Question

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a rectangular garden is 50m long and 45 m broad A path 2m wide is. running inside the garden . Calculate the cost of gravelling the path at rs 40 per square meter.....​

Answer 1

• A rectangle garden is 50m long and 45 m broad. A path 2m wide is. running inside the garden.
• Area of the rectangular garden = (50 × 45) square metres = 2250 square metres.
• Area of the rectangle which is left after the path is paved = [(50-2×2)×(45-2×2)] square metres = [(50-4) × (45-4)] square metres = (46 × 41) square metres = 1886 square metres.
• Therefore, the area of the path = (2250 - 1886) square metres = 364 square metres.
• Therefore, the cost of gravelling the path at Rs. 40 per square metre = Rs. (40 × 364) = Rs. 14560.

Answer:

Rs. 14560

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer 2

In rectangle ABCD

• L=50m
• B=45m

`\\ \sf{:}\longrightarrow Area=LB`

`\\ \sf{:}\longrightarrow Area=50(45)`

`\\ \sf{:}\longrightarrow Area=2250m^2`

In rectangle PQRS

• L=50-2=48m
• B=45-2=43m

`\\ \sf{:}\longrightarrow Area=LB`

`\\ \sf{:}\longrightarrow Area=48(43)`

`\\ \sf{:}\longrightarrow Area=2064m^2`

Now

`\\ \sf{:}\longrightarrow Area_((Path))=Area_((ABCD))-Area_((PQRS))`

`\\ \sf{:}\longrightarrow Area_((Path))=2250-2064=186m^2`

Cost:-

`\\ \sf{:}\longrightarrow 186(40)`

`\\ \sf{:}\longrightarrow Rs 7440`