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A kite has adjacent sides measuring 7 cm and 9 cm. What is the perimeter of the kite?

Mathematics

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Answer

32 cm\text{32 cm}

Step-by-step solution

3 steps
  1. Identify the properties of a kite.

    A kite is a quadrilateral where two pairs of equal-length sides are adjacent to each other. This means if one pair of adjacent sides has lengths aa and bb, then the other pair of adjacent sides will also have lengths aa and bb. Therefore, a kite has two sides of length aa and two sides of length bb.

  2. Use the given side lengths.

    The adjacent sides are given as 7 cm7 \text{ cm} and 9 cm9 \text{ cm}.
    So, we have two sides of length 7 cm7 \text{ cm} and two sides of length 9 cm9 \text{ cm}.

  3. Calculate the perimeter.

    The perimeter of a polygon is the sum of the lengths of all its sides.

    P=2×(length of one side)+2×(length of the other side)P = 2 \times (\text{length of one side}) + 2 \times (\text{length of the other side}) P=2(7 cm)+2(9 cm)P = 2(7 \text{ cm}) + 2(9 \text{ cm}) P=14 cm+18 cmP = 14 \text{ cm} + 18 \text{ cm} P=32 cmP = 32 \text{ cm}

    The perimeter of the kite is 32 cm\text{32 cm}.

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