Question

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

Answer 1

Answer:

area of rectangle = area of square

l× b = side × side

4× 9 = side × side

36 = side ^2

side = √36

side = 6 cm

side of square = 6 cm

Answer 2

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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