Question

Figure ABCD is a kite. The area of ABCD is 48 square units. The length of line segment BD is 8 units. What is the length of AC? 5 units 6 units 10 units 12 units

Answer 1

the area of a kite is given by 
A= 1/2 x d1 x d2

d1 = the great diagonal, d2 = the second diagonal
 
if BD is one of the diagonal, so 1/2 x BDx d= 48, it implies 4xd=48, so d=48/4=12
the answer is 12 units

Answer 2

The length of Diagonal AC will be 12 units.

Given,

The area of kite ABCD is 48 square units.

The length of line segment BD is 8 units.

What is the area of a kite?

We know that the area of kite is,

$A=\dfrac{1}{2} d_{1} \times d_{2}$

Here $d_{1}\ and\ d_{2}$ are the diagonals of the kite.

So,

$48=\dfrac{1}{2}\ AC\times \ BD$

$48\times 2=AC\times8$

$AC=12$

Hence the correct option is D. 12 units.

For more details about a kite, follow the link:

https://brainly.com/question/2292872