Question

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

Answer 1

Answer:

In a square the length is equal to breadth.

Hence, area of a square = side × side

The number of 1 cm squares enclosed = 4

Area = 4 sq cm

4 = 2 × 2

Hence, area = side × side

Answer 2

Answer :-

• Side of Square = 6cm

Given :-

• Area of Rectangle = Area of Square

• Length of Rectangle = 9cm

• Breadth of Rectangle = 4cm

To Find :-

• The Side of Square.

Step By Step Solution :-

As we know Area of Square is equal to Area of Rectangle. So first we will find the area of Rectangle and then we can easily find the side of Square.

So Let's do it!!

$\sf{\boxed{ \green{Area \: of \: Rectangle = length \times breadth}}}$

$\implies \sf \: Area = 9 \times 4 \: {cm}^{2} \\ \\ \implies \sf \: Area = 36 {cm}^{2}$

Therefore Area of Rectangle = 36cm²

Now Side of Square ⤵

$\sf { \boxed{ \pink{Area \: of \: Square = {Side}^{2} }}}$

$\implies \sf \: {Side}^{2} = 36 \\ \\ \implies \sf \: Side = \sqrt{36} \\ \\ \implies \sf \: Side = 6cm$

Therefore the Side of Square = 6cm

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