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A parallelogram has adjacent sides of lengths 12.1 cm and 6.2 cm. Calculate its perimeter.

Mathematics

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Answer

36.6 cm\text{36.6 cm}

Step-by-step solution

4 steps
  1. Identify the shape and its properties.

    The image shows a parallelogram, indicated by the pairs of parallel arrows on opposite sides. In a parallelogram, opposite sides are equal in length.

  2. Identify the given side lengths.

    The lengths of two adjacent sides are given as 12.1 cm12.1 \text{ cm} and 6.2 cm6.2 \text{ cm}.

  3. Apply the formula for the perimeter of a parallelogram.

    The perimeter PP of a parallelogram with adjacent side lengths aa and bb is given by the formula:

    P=2(a+b)P = 2(a+b)
  4. Substitute the given values into the formula and calculate the perimeter.

    Let a=12.1 cma = 12.1 \text{ cm} and b=6.2 cmb = 6.2 \text{ cm}.

    P=2(12.1 cm+6.2 cm)P = 2(12.1 \text{ cm} + 6.2 \text{ cm}) P=2(18.3 cm)P = 2(18.3 \text{ cm}) P=36.6 cmP = 36.6 \text{ cm}

    The perimeter of the parallelogram is 36.6 cm\text{36.6 cm}.

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