In a rectangle, the sum of some two sides is 9.5 cm, and the sum of three of some sides is 7.5 cm .

In a rectangle, the sum of some two sides is 9.5 cm, and the sum of three of some sides is 7.5 cm, find the perimeter of this rectangle.

1. A rectangle is a rectangle with all angles of 90 degrees. He also has opposite sides equal. The larger side is called the length, the smaller side is the width. Let’s denote the length of the rectangle by a, and the width by b.
The ratio is true: a> b.

2. By the condition of the problem, the sum of some two sides is 9.5 cm, and the sum of some three is 7.5 cm. Note that the sum of three sides is less than the sum of two. This is only possible when the two sides are two lengths of the rectangle a, and the three sides are two widths b and one length a.

3. Received two equations:

2 * a = 9.5
a + 2 * b = 7.5.
4. From the first equation a = 9.5 / 2 = 4.75 cm.

5. From the second equation b = (7.5 – 4.75) / 2 = 1.375 cm.

6. The perimeter of the rectangle (the sum of all its sides) is:
2 * a + 2 * b = 2 * 4.75 + 2 * 1.375 = 12.25 cm.

Answer: The perimeter of the rectangle is 12.25 cm.