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

Answer:

$30 u^{2}$

Step-by-step 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

$\text { area of kite }=\frac{1}{2} \times d_{1} d_{2}$

where,

$d_{1}=10\ and\ d_{2}=6$

So, the area of the quadrilateral is

$=\frac{1}{2}(10)(6)\\\\=30 u^{2}$