jamesongrimsby92 jamesongrimsby92
  • 20-09-2019
  • Mathematics
contestada

LAND Kate was given a square plot of land in which to build. If one side of the plot was (3a)3 feet long, express the area of her plot as a monomial

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frika
frika frika
  • 24-09-2019

Answer:

[tex]729a^6\ ft^2[/tex]

Step-by-step explanation:

The area of the square is

[tex]A_{square}=\text{Side}^2[/tex]

If one side of the plot was [tex](3a)^3[/tex] feet long, then the area of the square plot is

[tex]A_{Square\ plot}=((3a)^3)^2\ ft^2[/tex]

Simplify this expression

[tex]A_{Square\ plot}=((3a)^3)^2=(3a)^3\cdot (3a)^3=27a^3\cdot 27a^3=27\cdot 27\ccdot a^{3+3}=729a^6\ ft^2[/tex]

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