The two rectangles have the same area. The length of the first is 16mm, the second is 12mm
| July 15, 2021 | education
The two rectangles have the same area. The length of the first is 16mm, the second is 12mm. Find the width of the first rectangle if the perimeter of the second is 32mm.
1. Let’s denote the width of the first rectangle by X, and the width of the second by Y.
2. Then from the condition of equality of the areas of the rectangles we obtain the equality:
16 * X = 12 * Y. Or X = 3/4 * Y.
3. The perimeter of the second rectangle is 2 * (12 + Y) = 32. Hence Y = 4 mm.
4. Therefore, X = 3/4 * Y = 3 mm.
Answer: the width of the first rectangle is 3 mm.
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.
