Question

A wire is the shape of a rectangle .Its length is 65 cm and breadth 35cm .If the same wire is rebent into the shape of a square ,what will be the measure of each side of square.​

Answer 1

$\large{\underline{\underline{\mathfrak{\green{\sf{QUESTION:-}}}}}}$.

• A wire is the shape of a rectangle .Its length is 65 cm and breadth 35cm .If the same wire is rebent into the shape of a square ,what will be the measure of each side of square .

$\large{\underline{\underline{\mathfrak{\green{\sf{SOLUTION:-}}}}}}$.

$\bold{\underlin{\:GIVEN\:HERE:-}}$

when wire in shape of rectangle

• Length = 65 cm.
• Breath = 35 cm.

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$\bold{\underlin{\:FIND\:HERE:-}}$

• When wire in shape of a square ,Side will be = ?

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case (1) :-

Perimeter of Rectangle

$\bold{\boxed{\boxed{\:Perimeter\:=\:2\times(Length\:+\:Breath)}}}$

Keep Value of Length and Breath

$\implies\:Perimeter\:=\:2\times(65\:+\:35)$

$\implies\:Perimeter\:=\:2(100)$

$\implies\boxed{\boxed{\:Perimeter\:=\: 200 cm}}$

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Case(2):-

We know, if same wire is convert to in shape of square

so, perimeter will be same

Then, we can say that,

Perimeter of Rectangular shape of wire is equal to Perimeter of square shape of wire

Then,

Perimeter Of Square

$\bold{\boxed{\boxed{\:Perimeter\:=\:4\times(Side\:of\:square)}}}$

$\implies\:200\:=\:4\times(side)$

$\implies\:(side)\:=\cancel{\frac{200}{4}}$

$\implies{\boxed{\boxed{\:Side\:=\:50}}}$

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Thus:-

• when wire in shape in square ,then side will be = 50 cm