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  • 11-04-2019
  • Mathematics
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Which of the following shows that the two composite figures cover the same area? HELP ASAP!!

Which of the following shows that the two composite figures cover the same area HELP ASAP class=

Respuesta :

calculista
calculista calculista
  • 23-04-2019

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]

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