The perimeter of the square is 32 cm; the area of the rectangle is 10 times the area

The perimeter of the square is 32 cm; the area of the rectangle is 10 times the area of this square. What is the area of the rectangle?

1). Let X be the length of the side of the square.

2). Based on the condition of the problem, we write the equation:

2 (X + X) = 32;

4 X = 32;

X = 8 cm;

3). The area of the square is:

8 * 8 = 64 cm ^ 2;

4). The area of the rectangle is:

64 * 10 = 640 cm ^ 2;

Answer: The area of the rectangle is 640 cm ^ 2.