The perimeter of the rectangle is 22 cm, and one of its sides is 1 cm larger than the other. What is the area of the rectangle?

| April 26, 2021 | education

The perimeter of the rectangle is calculated by the formula P = (a + b) * 2; a + b = 22: 2 = 11 (cm);

if the sides were equal to the smaller one, then the sum of the two smaller sides is 11 – 1 = 10 (cm), that is, the smaller side of the rectangle is 10: 2 = 5 (cm); and the large side is 5 + 1 = 6 (cm); then the area of ​​the rectangle S = a * b; S = 5 * 6 = 30 (sq. Cm);
if the sides were equal to the larger one, then the sum of the two large sides is 11 + 1 = 12 (cm), that is, the large side of the rectangle is 12: 2 = 6 (cm); and the smaller side 6 – 1 = 5 (cm); S = 6 * 5 = 30 (sq. Cm);
you can make the equation (a + (a + 1)) * 2 = 22, by solving the equation you will find a, and then the area.
Answer: 30 square centimeters is the area of ​​a rectangle.



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.