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? 15 square units 30 square units 45 square units 60 square units

Answer 1

`30 u^(2)`

Explanation:

The computation of the area of kite ABCD is shown below:

Given data

AC = 10 ;

BD = 6

As we can see from the attached figure that the Kite is a quadrilateral as it involves two adjacent sides i.e to be equal

Now the area of quadrilateral when the diagonals are given

So, it is

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

where,

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

So, the area of the quadrilateral is

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