# The perimeter is 312cm and one side is 11 times smaller than the other. Find sides?

January 29, 2021 | education

| 1. Let the smaller side of the rectangle be a, then its larger side is 11a. Add the sides and multiply the sum by 2 to get the perimeter of the rectangle. Let’s solve this equation:

(a + 11a) * 2 = 312,

12a * 2 = 312,

24a = 312,

a = 312/24,

a = 13 cm.

2. Find the large side of the rectangle:

13 cm * 11 = 143 cm.

Answer: the sides of this rectangle are 143 cm and 13 cm.

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