The perimeter of a square with a side of 9.65 cm is equal to the perimeter of a rectangle with a width of 8.7

The perimeter of a square with a side of 9.65 cm is equal to the perimeter of a rectangle with a width of 8.7 cm Find the length of the rectangle.

We calculate the perimeter of a square, the measurement of which is 9.65 cm.Since its sides are equal, it corresponds to the formula:
P = 4a = 4 * 9.65 = 38.6 cm.
The perimeter of the rectangle is the same, but its width = 8.7 cm. It is necessary to find the length, we express it from the formula to determine the sum of all sides of the rectangle:
If P = 2a + 2b, therefore: a = (P – 2b): 2 = (38.6 – 2 * 8.7): 2 = 21.2: 2 = 10.6 cm.