The sum of the length of the adjacent sides of the rectangle is 8 meters, the perimeter of the rectangle is calculated.

univerkov | September 8, 2021 | education

Since the opposite sides of the rectangle are located on parallel lines and are equal to each other, and the sum of any adjacent sides is 8 meters, then the sum of the sides parallel to them will also be equal to 8 meters.

Let a rectangle ABCD be given, in which AB = CD = a, and AD = BC = b.

Then AB + AD = a + b = 8 and BC + CD = b + a = 8.

Since the perimeter is the sum of all sides, then

PABCD = AB + AD + BC + CD = a + b + b + a = 8 + 8 = 16 (m).

Answer: The perimeter of the rectangle is 16 meters.

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