A square has the same area as a rectangle with sides of length 9 am and 16 cm.What is the length of the side of the square? (A) 9cm (B) 12cm (C) ) 2. cm (D) 75 cm

To find the length of the side of the square, we need to first calculate the area of the rectangle and then find the side length of the square that has the same area.<br /><br />The area of a rectangle is given by the formula: Area = length × width.<br /><br />Given that the sides of the rectangle are 9 cm and 16 cm, we can calculate the area as follows:<br /><br />Area = 9 cm × 16 cm = 144 cm².<br /><br />Now, we need to find the side length of the square that has the same area. The area of a square is given by the formula: Area = side².<br /><br />Let's denote the side length of the square as x. We can set up the equation:<br /><br />x² = 144 cm².<br /><br />To solve for x, we take the square root of both sides:<br /><br />x = √(144 cm²) = 12 cm.<br /><br />Therefore, the length of the side of the square is 12 cm.<br /><br />The correct answer is (B) 12 cm.