The perimeter of the rectangle is 76 cm. Find its area if the width is less than the length by 4 cm.
September 12, 2021 | education
| The solution of the problem:
1. Let’s denote the width of the rectangle through x.
2. Determine the length of the rectangle.
(x + 4) cm.
3. Let’s compose and solve the equation.
(x + (x + 4)) * 2 = 76;
(x + x + 4) * 2 = 76;
x + x + 4 = 76/2;
2x + 4 = 38;
2x = 38 – 4;
2x = 34;
x = 34/2;
x = 17.
4. The width of the rectangle is x = 17 cm.
5. What is the length of the rectangle?
4 + x = 4 + 17 = 21 cm.
6. What is the area of the rectangle?
21 * 17 = 357 sq. cm.
Answer: the area of the rectangle is 357 square meters. 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.