Question

Find the cost of fencing around a square field whose area is 16 hectares ,if fencing cost rs 1.50per meter

Answer 1

$\star\;{\underline{\rm{\red{\;\;GivEn:-\;\;}}}}$

• Area of square field = 16 hectares

• Fencing cost of square field is Rs. 1.50 per metre

$\star\;{\underline{\rm{\blue{\;\;To\;Find:-\;\;}}}}$

• the cost of fencing around a square field whose area is 16 hectares.

$\star\;{\underline{\rm{\green{\;\;To\;SoluTion:-\;\;}}}}$

As we know that,

$:\implies{\underline{\boxed{\bf{1\; hectares = 10,000\;m^2}}}}$

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$\therefore$ 16 hectares = 16 × 10,000

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$:\implies$ 16 hectares = 1,60,000 m²

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So, we can say that,

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$:\implies$ Area of square field = 1,60,000m²

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$\dag\;\sf{\underline{\red{Area\;of\; square = side \times side}}}$

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$:\implies$ 1,60,000 = (side)²

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$\small\sf\;\;\;\dag\; \underline{Taking\;sqrt.\;both\;sides\;-}$

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$:\implies\sf \sqrt{1,60,000} = \sqrt{side^2}$

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$:\implies{\underline{\boxed{\bf{\pink{Side = 400\;m}}}}}$ ★

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As we know that,

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$\dag\;\sf{\underline{\red{Perimeter\;of\; square = 4 \times side}}}$

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$:\implies$ Perimeter = 4 × 400

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$:\implies{\underline{\boxed{\bf{\pink{Perimeter = 1600\;m}}}}}$ ★

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Now,

★ Cost of fencing 1 metre field = 1.50 per metre

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$:\implies$ Cost of fencing 1600 metre field = 1.50 × 1600

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$:\implies{\underline{\boxed{\bf{\blue{cost = 2400\;Rs}}}}}$ ★

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$\therefore\sf \underline{Cost\;of fencing\;1600\;m\;field = \bf{2400\;Rs.}}$

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⠀⠀★ Formulas related to square:-

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⠀⠀⠀⠀✩ Area of Square = (side)²

⠀⠀⠀⠀✩ Perimeter of Square = 4 × Side

⠀⠀⠀⠀✩ Diagonal of square = $\sf \sqrt{2a}$

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