A rectangle and a square are of equal area. If the length and the perimeter of a rectangle are 32 cm and 100 cm, respectively, then the perimeter and area of the square are Drag Your Answercm and Drag Your Answer sq.cm.

The problem states that the area of the rectangle is equal to the area of the square.

Step 1: Find the width of the rectangle We know that the perimeter of a rectangle is given by the formula 2*(length + width). We can use this to find the width. Given that the length is 32 cm and the perimeter is 100 cm, we can set up the equation: 100 = 2*(32 + width) Solving for width, we get width = 18 cm.

Step 2: Find the area of the rectangle The area of a rectangle is given by the formula length*width. Substituting the given length and the calculated width, we get: Area = 32 cm * 18 cm = 576 sq.cm.

Step 3: Find the side of the square Since the area of the square is equal to the area of the rectangle, the side of the square is the square root of the area. So, Side of square = sqrt(576) = 24 cm.

Step 4: Find the perimeter of the square The perimeter of a square is given by the formula 4*side. So, Perimeter of square = 4 * 24 cm = 96 cm.

So, the perimeter of the square is 96 cm and the area of the square is 576 sq.cm.