Question

The breadth of a rectangular garden is 23of its length.If it's perimeter is 40 meter,find its demensions.

Answer 1

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✰ Given:-

Breadth (b) = 23 length (l)

Perimeter (p) = 40 m.

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✰ Find :-

Its Dimension = ?

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✰ Solutuon :-

Consider the length and breadth of rectangular garden is l and b.

${\underline{\boxed{\sf{Perimeter (p) = 2(l + b)}}}}$

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$\sf{⟹ 2 ( l + b ) = 40}$

$\sf{⟹ 2 ( l + 23 \: l ) = 40}$

$\sf{⟹ 24 \: l = \cancel\frac{40}{2} }$

$\sf{⟹ 24 \: l = 20}$

$\sf{⟹ l = \cancel\frac{20}{24} }$

$\sf{⟹ l = \frac{5}{6} }$

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Know that,

b = 23 l

$\sf{⟹b = 23 \times \frac{5}{6} }$

$⟹ \: {\boxed{\sf{ \: \frac{115}{6 } \: m}}} \:$

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Hence the dimension of a garden are

$\sf{ \frac{5}{6}m \: and \: \frac{115}{6}m \: }$