Question

The areas of a rectangle and square are equal .If the length of the rectangle is 44 cm and breadth is 11 cm, find the side of the square​

Answer 1

Answer:

22 cm

Step-by-step explanation:

l = 44cm

b = 11cm

ar(rectangle) = l × b = 44 × 11 = 484 sq. cm

ar(square) = ar(rectangle) = 484 sq. cm

side of the square = √484 = 22 cm

Answer 2

$\Huge{\bf{\mathtt{\pink{AnSweR}}}}$

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$\LARGE{\bf{\mathtt{\purple{GivEn}}}}$

• The areas of rectangle and squares are equal.

• The length of rectangle is 44cm and breath is 11 cm

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$\LARGE{\bf{\mathtt{\purple{ToFinD}}}}$

• Side of the square.

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$\LARGE{\bf{\mathtt{\purple{ConSeDeRinG}}}}$

• Let the side of the square be x

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$\LARGE{\bf{\mathtt{\purple{SoLuTioN}}}}$

• We know that area of rectangle is equal to the area of square, and We also know the measurements of the rectangle, so we will find the area of rectangle.

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$\LARGE{\bf{\boxed{\red{Area\:-\:l\:×\:b}}}}$

• => 44 × 11

• => 484 cm ² (Area of rectangle)

$\:\:$

Now , as we know the area of rectangle and square (both are equal) so we can find the side of the square.

$\:\:$

equation formed "

$\Large{\bf{\boxed{x²(area\:of\:square)=484cm}}}$

$\:\:$

after solving the equation we get ,

=> x = $\large{\sqrt{484}}$

=> x = 22

$\:\:$

therefore, side of square = 22cm

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