The perimeter of the rectangle is 66 cm. One side is 11 cm longer than the other. Find the length of the longer side.

| February 4, 2021 | education

Answer: The length of the larger side is 22 cm.

The perimeter is the sum of the lengths of all sides of the polygon.

It should also be remembered that all opposite sides of a rectangle are equal.

1. Consider the option with the length of the longer side 24 cm. According to the conditions, the small side is 11 cm less and therefore equal to 13 cm. Let’s calculate the perimeter:

24 + 24 + 13 + 13 = 74 cm.

According to the conditions, the perimeter is 66 cm and this option is not suitable.

2. The large side is 25 cm. The smaller side is 14 cm. Then the perimeter is:

25 + 25 + 14 + 14 = 78 cm.

3. The larger side is 21 cm. The smaller side is 10 cm. The perimeter is:

21 + 21 + 10 + 10 = 62 cm.

4. Length of the larger side: 22 cm. The smaller side: 11 cm. The perimeter is:

22 + 22 + 11 + 11 = 66 cm.

The resulting value of the perimeter coincides with the original, which means that the length of the longer side is 22 cm.



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