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Finding the Area of a Kite: Formulas and Examples

Learn how to calculate the area of kites by applying the formula using the lengths of the diagonals. Discover the properties of kites and solve examples to reinforce your understanding with step-by-step explanations.

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Finding the Area of a Kite: Formulas and Examples

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  1. 11.4 The Area Of a Kite Objective: After studying this section you will be able to find the areas of kites

  2. Remember When We Learned Properties of Special Quadrilaterals? 1. In a kite, the diagonals are perpendicular. 2. The longer diagonal bisects the shorter diagonal. This means the kite can be divided into 2 isosceles triangles with a common base…so its area will equal the sum of the areas of the two triangles.

  3. Let’s A E E B B D D C

  4. But Wait! Did you notice BD and AC are the diagonals of the kite?! (We just proved the formula for area of a kite…no big deal!) Theorem The area of a kite equals half the product of its diagonals. where d1 is the length of one diagonal, and d2 is the length of the other diagonal

  5. Just a Note… This formula can be applied to any kite, including the special cases of a rhombus and a square d2 d1

  6. Example #1 Find the area of a kite with diagonals 9 and 14

  7. Example #2 Find the area of a rhombus whose perimeter is 20 and whose longer diagonal is 8.

  8. Homework Worksheet 11.4

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