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Write a simplified expression that represents the...
a. area of the large rectangle.
b. area of the small rectangle.
c. area of shaded region.

Write a simplified expression that represents the... a. area of the large rectangle. b. area of the small rectangle. c. area of shaded region. class=

Answer :

Hrishii

Answer:

See below

Step-by-step explanation:

a.

  • Area of the large rectangle = (6 + x) (6 - x)

  • ->Area of the large rectangle [tex]=(6)^2-x^2[/tex]

  • -> Area of the large rectangle [tex]= 36-x^2[/tex]

b.

  • Area of the small rectangle = (2 + x) (2 - x)

  • ->Area of the small rectangle [tex]=(2)^2-x^2[/tex]

  • ->Area of the large rectangle [tex]= 4-x^2[/tex]

c.

  • Area of shaded region = Area of the large rectangle - Area of the small rectangle

  • -> Area of shaded region [tex]=( 36-x^2)-(4-x^2)[/tex]

  • -> Area of shaded region = [tex]=36-x^2-4+x^2[/tex]

  • -> Area of shaded region [tex]=32 \:units^2[/tex]

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