# One side of the rectangle is 5 cm longer than the other, and the sum of their lengths is 17 cm.

One side of the rectangle is 5 cm longer than the other, and the sum of their lengths is 17 cm. Find the area and perimeter of this rectangle.

Let one side of the rectangle be “x” cm, then the second side is “x + 5” cm. By the condition of the problem, the sum of the lengths of the sides of the rectangle is 17 cm, then we compose the equation and solve it:

x + (x + 5) = 17;

x + x + 5 = 17;

2x = 17 – 5;

2x = 12;

x = 12: 2;

x = 6.

This means that one side of the rectangle is 6 cm, then the second side is 6 + 5 = 11 cm.

To find the area of ​​a rectangle, you need to multiply the value of one side by the value of the second side.

S = a * b;

S = 6 * 11 = 66 cm ^ 2;

To find the perimeter of a rectangle, you need to multiply two by the sum of the lengths of the sides.

P = 2 * (a + b);

P = 2 * (6 + 11) = 2 * 17 = 34 cm.

Answer: S = 66 cm ^ 2, P = 34 cm. 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.