Question

the length and breadth of rectangular field of birati mahajati sangha are in the ratio 4:3. the path a 336 meters is covered by walking once round the field. let us write by calculating the area of the field​

Answer 1

Given:-

The ratio of length and breadth is 4:3.

Distance covered by walking once round to the field.

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To find:-

The area of field?

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Solution:-

Let,

Length of rectangular field be 4x.

Breadth of rectangular field be 3x.

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★ Formula used:-

$\star{\boxed{\sf{\orange{Perimeter\: of\: rectangle = 2(l + b)}}}}$

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$\large{\tt{\longmapsto{336 = 2(4x + 3x)}}}$

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$\large{\tt{\longmapsto{336 = 2 \times 7x}}}$

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$\large{\tt{\longmapsto{\dfrac{336}{2} = 7x}}}$

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$\large{\tt{\longmapsto{168 = 7x}}}$

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$\large{\tt{\longmapsto{\dfrac{168}{7} = x}}}$

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$\boxed{\large{\tt{\longmapsto{\red{x = 24\: m}}}}}$

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★ Finding the length and breadth of rectangular field.

$\large{\tt{\longmapsto{Length = 4x = 4 \times 24 = 96}}}$

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$\large{\tt{\longmapsto{Breadth = 3x = 3 \times 24 = 72}}}$

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Now,

Let's, find the area of the field.

$\large{\tt{\longmapsto{Area = 96 \times 72}}}$

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$\boxed{\large{\tt{\longmapsto{\red{Area = 6912\: m^2}}}}}$

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Hence, the area of the field is 6912 m².

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