Question

23. A square and a rectangle have the same perimeter. If the length and breadth of the rectangle
are 25 cm and 15 cm respectively, find the side of the square.​

Answer 1

$\sf{\underline{\boxed{\large{\blue{\mathsf{Solution}}}}}}$

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

• Perimeter of square = Perimeter of rectangle.

• length of rectangle = 25cm

• breadth of rectangle = 15cm

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

• Side of square = ???

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

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$\sf{\red{\boxed{\bold{Perimeter \: of \: rectangle \: = \: 2( l + b ) }}}}$⠀⠀

: $\sf\implies \:{\bold{ perimeter \: of \: rectangle \: = \: 2 ( 25 + 15 ) }}$

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: $\sf\implies \:{\bold{ perimeter \: of \: rectangle \: = \: 2 \times 40cm }}$

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: $\sf\implies \:{\bold{ perimeter \: of \: rectangle \: = \: 80cm }}$

• It is given that perimeter of rectangle = perimeter of square .

• Therefore perimeter of square = 80 cm

$\sf{\red{\boxed{\bold{each\: side = \dfrac{perimeter}{4}}}}}$

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: $\sf\implies \:{\bold{ each\: side \: of\:square = \dfrac{80}{4} }}$

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: $\sf\implies \:{\bold{each\: side\: of\: square = 20cm }}$

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

• Each side of square is 20cm

Answer 2

Answer:

Length=25cm

Breadth =15cm

perimetre of square=perimetre of rectangle

4 ×side=2×(l+b)

4×side=2×(25+15)

4×side=2×40

side=2×40/4

side=20cm