In a quadrilateral ABCD, sides AD and BC are parallel and equal, and its perimeter is 24 cm. Find the sum of the lengths of AB and BC.
| January 13, 2021 | education
Quadrilateral ABCD is a parallelogram since its two opposite sides AD and BC are equal and parallel. By the property of a parallelogram, its perimeter is equal to twice the sum of non-parallel sides:
P = (AB + BC) * 2.
From here you can find the required sum of the lengths of the sides AB and BC:
24: 2 = 12 (cm).
Answer: 12 cm.
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