Question

Which of the following shows that the two composite figures cover the same area? HELP ASAP!!

Answer 1

Answer:

For both figures $A=4+2+2+1=9\ units^{2}$

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

$A=2^{2}=4\ units^{2}$

Area of the isosceles right triangle

$A=(1/2)(2)(2)=2\ units^{2}$

Area of the smaller isosceles triangle

$A=(1/2)(2)(1)=1\ units^{2}$

The area of the composite figure is

$A=4+2+2+1=9\ units^{2}$