# 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.