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

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    2021-09-09T05:34:29+00:00

    Answer:

    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

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