Question

Kite A B C D is shown. Lines are drawn from point A to point C and from point B to point D and intersect.

In the kite, AC = 10 and BD = 6.

What is the area of kite ABCD?

Answer 1

The area of the kite is 30 square units.

Explanation:

Givens

`AC=10`

`BD=6`

A kite has the form of a parallelogram, so its area is defined as

`A=(1)/(2) * d_(1) * d_(1)`

Where
`d_(1)` and
`d_(2)` are the diagonals of the kite.

In this case,

`d_(1)=10` and
`d_(2)=6`

Replacing these values, we have

`A=(1)/(2)(10)(6)=30 u^(2)`

Therefore, the area of the kite is 30 square units.

Answer 2

Area of kite is 30 sq units.

Solution:

Note: Refer the image attached

From the given,

AC = 10 ; BD = 6

Kite is a quadrilateral as it has two equal adjacent sides.

The formula for the area of quadrilateral (kite) when both the diagonals are given is

`\text { area of kite }=(1)/(2) * d_(1) d_(2)`

Here AC is
`d_(1)` and BD is
`d_(2)`

On substituting the given values we get

`area =  (1)/(2)*10*6 =  (60)/(2)=30 sq units`