Question

The length of a rectangle is thrice times it width and the perimeter is 96 metres .find length and the breadth

Answer 1

Answer:

l377 is your answer

Step-by-step explanation:

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Answer 2

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$\huge{\underline{\underline{\sf{\blue{SOLUTION:-}}}}}$

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$\sf{\underline{\green{AnswEr:-}}}$

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• The breadth of the rectangle = 12 cm
• The length of the rectangle = 36 cm

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$\sf{\underline{\green{Given:-}}}$

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• The length of a rectangle is thrice times it width and the perimeter is 96 metres.

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$\sf{\underline{\green{Find:-}}}$

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• The breadth of the rectangle = ?
• The length of the rectangle = ?

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$\sf{\underline{\green{Explanation:-}}}$

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$\sf{\underline\purple{Let:-}}$

• The beadth of rectangle be y
• And, the length of rectangle be 3y

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$\sf{\underline\purple{A.T.Q:-}}$

$\longrightarrow \sf { 2\times ( y + 3y ) = 96}$

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$\longrightarrow \sf { 2 \times 4y = 96}$

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$\longrightarrow \sf { 8y = 96}$

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$\longrightarrow \sf { y = \cancel\dfrac{96}{8} }$

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$\longrightarrow {\gray{ \underbrace{\boxed{\underline{\underline{\blue{ \tt y = 12 }}}}}}}$

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$\:\:\:\:\dag\bf{\underline{\underline \red{Hence:-}}}$

• The breadth of the rectangle is 12 cm

• The length of the rectangle = 3 × 12
• The length of the rectangle = 36 cm

$\rule{200}{2}$