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A parallelogram is drawn so that a circle touches all four of its sides. One side of the parallelogram is 7 cm. What is its perimeter?

Competition practiceGeometry
  • A28 cm
  • B14 cm
  • C21 cm
  • DCannot be found

Step-by-Step Solution

For a quadrilateral around a circle, AB + CD = BC + AD. In a parallelogram AB = CD and BC = AD, so all four sides are equal: it is a rhombus with perimeter cm.
Answer: A) 28 cm

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