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

Answer:

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

Step-by-step explanation:

The area of a kite is

$A=\frac{1}{2}(d_1\times d_2)$

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

In triangle ABO,

$\tan45^{\circ}=\frac{BO}{AO}$

$1=\frac{BO}{2.5}$

$2.5=BO$

The length of BD is

$BD=2\times BO=2\times 2.5=5$

The length of AC is

$6+2.5=8.5$

The area of kite ABCD is

$A=\frac{1}{2}(AC\times BD)$

$A=\frac{1}{2}(8.5\times 5)$

$A=21.25$

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