Question

A 55m and 35m broad park is surrounded by a 2.5m wide path.

(i). Find the area of the path.
(ii).Calculate the cost of paving the path with stones at Rs 120 per sq. metre.​

Answer 1

Explanation:

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`\underline {\underline{ \text{Given}}} :`

• Length of a park ( l ) = 55 m
• Breadth of a park ( b ) = 35 m
• Width running outside the park ( d ) = 2.5 m
• Rate of paving the path with stones = Rs 120 per sq.metre

☄
`\underline{ \underline{ \text{To \: find}}}:`

• Area of the park
• Cosy of paving the path with stones at Rs 130 per sq.metre

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`\underline{ \underline{ \text{Solution}}} :`

Part 1 :
`\boxed{\text{Area \:of \:a \:path \: running \:outside = 2d(l + b + 2d)}}`

plug the known values and simplify :

⟹
`\sf{2 * 2.5(55 + 35 + 2 * 2.5)}`

⟹
`\sf{5 * 95}`

⟹
`\sf{475 \: {m}^(2) }`

Part 2 :
`\boxed{ \sf{Total \: cost = Area \: of \: paths \: * Rate}}`

⟹
`\sf{475 * 120}`

⟹
`\sf{Rs \: 57000}`

`\purple{ \boxed{ \boxed{ \sf{ \tt{⟿ \: Our \: final \: answer : (i) = 475 \: {m}^(2) \: and \: (ii ) = Rs \: 57000}}}}}`

Hope I helped ! ♡

Have a wonderful day /night ツ

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