## A rectangular grassy plot 160m×45m has a path 3m wide all the four sides inside it find the cost of gravelling the path of ruppees 5 per sq.

Question

A rectangular grassy plot 160m×45m has a path 3m wide all the four sides inside it find the cost of gravelling the path of ruppees 5 per sq.m.​

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2 weeks 2021-09-09T05:32:35+00:00 1 Answer 0 views 0

The cost of gravelling the path is Rs. 5,970

Step-by-step explanation:

Given:

• A rectangular grassy plot’s length = 160m

• A rectangular grassy plot’s breadth = 45m

• A path 3m wide all the four sides inside

• Rate = Rs. 5 per sq.m.

To find:

• The cost of gravelling the path

Solution :

Area of plot = length × breadth

⇒ 160 × 45

⇒ 7200

Area of plot = 7,200 m²

Width of path = 3 m

★ Inner length of plot = 160 – (2 × 3)

⇒ 160 – (2 × 3)

⇒ 160 – 6

⇒ 154

Inner length of plot = 154 m

★ Inner breadth of plot = 45 – (2 × 3)

⇒ 45 – (2 × 3)

⇒ 45 – 6

⇒ 39

Inner breadth of plot = 39 m

_________________________

★ Area of the plot excluding the path =

⇒ 154 × 39

⇒ 6,006

Area of the plot excluding the path = 6,006 m²

★ Area of path = 7,200m² – 6,006 m²

⇒ 7,200m² – 6,006 m²

⇒ 1,194

Area of path = 1,194 m²

_________________________

Cost of gravelling the path =

⇒ 1,194 × 5

⇒ 5,970

Cost of gravelling the path = Rs. 5,970

Therefore,

The cost of gravelling the path is Rs. 5,970