Question

find the side of a square whose area is equal to the area of a rectangle whose dimensions are 4 centimetre and 9 cm​

Answer 1

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Area of rectangle = length x breadth

Area of square = side^2

Let the length of side of the square be 'a'.

⇒ Area of square = area of rect.

⇒ a^2 = 4 cm x 9 cm

⇒ a^2 = 36 cm^2

⇒ a = √36cm^2

⇒ a = 6 cm

Length of side of the square is 6 cm

Answer 2

Given: Dimensions of rectangle 4cm x 9cm.

Area of rectangle = area of square

To find: Side of the square.

Formula to be used: Area of square = side x side.

Area of rectangle = length x breadth.

Step-by-step explanation:

Step 1 of 1

The area of rectangle = The area of square

The area of rectangle= length x breadth

                                   = 4cm x 9cm

                                   = 36 $cm^{2}$

So, area of square will also be equal to 36 $cm^{2}$.

$36=side^{2} \\\\side=\sqrt{36}\\ \\side=6cm$

The side of the square will be 6cm.