The length of the rectangle is 8 cm longer than the width. Calculate the area of the rectangle if its perimeter is 60 cm.

The perimeter of a rectangle is calculated using the formula:

P = 2a + 2b. Provided that the length of such a figure is x + 8, and the width = x, P = 60 cm, we draw up an equation and find the measurements:

2 * (x + 8) + 2x = 60. Let’s open the brackets:

2x + 16 + 2x = 60. On the left side of the equation, we perform operations with the variable, and transfer the known number to the right, while changing the sign in front of it to the opposite:

4x = 60 – 16 = 44. The second factor is the quotient of the first:

x = 44: 4 = 11.

Therefore, b = 11 cm, a = 11 + 8 = 19 cm.

The area corresponds to:

S = a * b = 19 * 11 = 209 m².