The formula for determining the perimeter of a rectangle corresponds to:
P = 2a + 2b.
According to the condition of the assignment, this value for such a figure is 64 cm, and one side is 3 times larger than the other. Let’s write the equation:
3 * 2x + 2x = 64.
Let’s perform actions with the coefficients of the variable on the left side of the equation:
8x = 64.
To find the second factor, divide the product by the first:
x = 64: 8 = 8.
Therefore, width = 8 cm and length = 3 * 8 = 24 cm.
Let’s define the area:
S = a * b = 24 * 8 = 192 cm².
One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.