Question

What is the area of the figure below?

7.5m^2
15m^2
21.25m^2
42.5m^2

Answer 1

The answer is c!!! hope this helps!!!

Answer 2

Third option is correct. The area of figure is 21.25m^2.

Explanation:

The area of a kite is

`A=(1)/(2)(d_1* d_2)`

Both diagonals are perpendicular. Longer diagonal bisects the smaller diagonal.

In triangle ABO,

`\tan45^(\circ)=(BO)/(AO)`

`1=(BO)/(2.5)`

`2.5=BO`

The length of BD is

`BD=2* BO=2* 2.5=5`

The length of AC is

`6+2.5=8.5`

The area of kite ABCD is

`A=(1)/(2)(AC* BD)`

`A=(1)/(2)(8.5* 5)`

`A=21.25`

Therefore third option is correct. The area of figure is 21.25m^2.