Question

one side of the parallelogram is 14 cm and its perimeter ie 48 cm . find the length of remaining three sides.
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Answer 1

Step-by-step explanation:

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Answer 2

$\sf{\bold{\green{\underline{\underline{Given}}}}}$

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• One side of parallelogram = 14cm
• perimeter = 48cm

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$\sf{\bold{\green{\underline{\underline{To\:Find}}}}}$

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• length of other 3 sides = ??

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$\sf{\bold{\green{\underline{\underline{Solution}}}}}$

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let the breadth be x

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$\sf{\red{\boxed{\bold{perimeter = 2 ( length + breadth ) }}}}$

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$\sf :\implies{\bold{ 48 = 2( x + 14) }}$

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$\sf :\implies{\bold{ \dfrac{48 }{2} = x + 14 }}$

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$\sf :\implies{\bold{ 24 = x + 14 }}$

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$\sf :\implies{\bold{ x = 24 - 14 }}$

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$\sf :\implies{\bold{ x = 10cm }}$

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We know that ;

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• Opp. sides are equal of parallelogram

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Therefore in the required Prallelogram

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opp lengths will be 14cm

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opp breadths will be 10cm

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$\sf{\bold{\green{\underline{\underline{Answer}}}}}$

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• All 4 sides of the parallelogram are 10cm , 10cm , 14cm , 14cm

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$\sf{\orange{\boxed{\bold{Extra\: info :-}}}}$

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• Opposite sides of parallelogram are equal
• Opposite angles of parallelogram are equal
• Diagonals bisect each others .
• Diagonals bisect at 90’