Respuesta :

Answer:

For both figures [tex]A=4+2+2+1=9\ units^{2}[/tex]

Step-by-step explanation:

we know that

The area for both composite figures is equal to the area of a square plus the area of two isosceles right triangles plus the area of a smaller isosceles triangle

so

Area of the square

[tex]A=2^{2}=4\ units^{2}[/tex]

Area of the isosceles right triangle

[tex]A=(1/2)(2)(2)=2\ units^{2}[/tex]

Area of the smaller isosceles triangle

[tex]A=(1/2)(2)(1)=1\ units^{2}[/tex]

The area of the composite figure is

[tex]A=4+2+2+1=9\ units^{2}[/tex]