# The area of the rectangle is 28, find its larger side if it is 12 larger than the smaller side.

1. Let’s denote the length of the shorter side of the rectangle through x.

2. Determine the length of the larger side of the rectangle:

(x + 12).

3. Let’s compose and solve the equation:

(x + 12) * x = 28;

x2 + 12x = 28;

x2 + 12x – 28 = 0;

D = 122 – 4 * 1 * (-28) = 144 + 112 = 256

x1 = (-12 + √256) / (2 * 1) = (-12 + 16) / 2 = 4/2 = 2;

x2 = (-12 – √256) / (2 * 1) = (-12 – 16) / 2 = -28/2 = -14.

-14 – does not meet the condition of the problem.

4. The length of the shorter side of the rectangle is 2.

5. What is the length of the longer side of the rectangle?

2 + 12 = 14.

Answer: The length of the longer side of the rectangle is 14. 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.