# Advanced Geometry : How to find the area of a kite

## Example Questions

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### Example Question #1 : How To Find The Area Of A Kite

Find the area of a kite with the diagonal lengths of  and .

Explanation:

Write the formula to find the area of a kite.  Substitute the diagonals and solve.

### Example Question #2 : How To Find The Area Of A Kite

Find the area of a kite with diagonal lengths of  and .

Explanation:

Write the formula for the area of a kite.

Plug in the given diagonals.

Pull out a common factor of two in  and simplify.

Use the FOIL method to simplify.

### Example Question #41 : Kites

Find the area of a kite, if the diagonals of the kite are .

Explanation:

You find the area of a kite by using the lengths of the diagonals.

, which is equal to

You can reduce this to,

for the final answer.

### Example Question #42 : Kites

Show algebraically how the formula of the area of a kite is developed.

Explanation:

1) The given kite is divded into two congruent triangles.

2) Each triangle has a height  and a base .

3) The area  of each triangle is .

4) The areas of the two triangles are added together,

### Example Question #41 : Plane Geometry

The rectangle area  is 220.  What is the area  of the inscribed

kite ?

Explanation:

1) The measures of the kite diagonals  and  have to be found.

2) Using the circumscribed rectangle, , and  .

3)  has to be found to find .

4) The rectangle area .

5) .

6) From step 1) and step 2), using substitution, .

7) Solving the equation for x,

8)

9) Kite area

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