The area of a square is equal to the area of a rectangle whose dimensions are 48 cm and 27 cm . Find the side of the square
Hi Raj
Let side of square = a
Now, given
Area of Square = Area of rectangle
a2 = 48 × 27
a2 = (2 × 2 × 2 × 2 × 3) × (3 × 3 × 3)
a2 = (2 × 2) × (2 × 2) × (3 × 3) × (3 × 3)
a2 = 22 × 22 × 32 × 32
a = Square root (22 × 22 × 32 × 32)
a = 2 × 2 × 3 × 3
a = 36
Thus, side of square = 36 cm