A rectangle has one side 2 cm longer than the other, and the perimeter is 28 cm, which is equal to the area of the rectangle.

univerkov | February 4, 2021 | education

Let x be the length of one side of the rectangle, then since the second side is 2 cm longer than the other, the length of the second side is: x + 2. The perimeter of the rectangle is equal to the sum of all its sides. Since the opposite sides of the rectangle are equal, then P = 2 * a + 2 * b. Substituting the values of the sides and the perimeter into the formula, we get the equation: 28 = 2 * x + 2 * (x + 2), 28 = 2x + 2x + 4. To solve the equation, we transfer all the unknown terms of the equation to one part, and to the other all the known terms of the equation: 4x = 28 – 4, 4x = 24, x = 24: 4, x = 6. The length of one side is 6 cm, the length of the second side is 6 + 2 = 8 cm. The area of the rectangle is: S = a * b = 6 cm * 8 cm = 48 cm square.

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.