In a quadrilateral ABCD, the sides AD and BC are parallel and equal, and its perimeter is 24 cm.

In a quadrilateral ABCD, the sides AD and BC are parallel and equal, and its perimeter is 24 cm. Find the sum of the lengths AB and BC.

Since AD and BC are parallel and equal, ABCD is a parallelogram. Therefore, its perimeter equal to 24 cm can be found: (AB + BC) × 2.
Calculate the unknown factor by dividing the product 24 by the known factor 2.
We get the desired result: (AB + BC) = 24 ÷ 2 = 12
The sum of the lengths of two adjacent sides is 12 cm.



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