Question

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

Answer 1

Answer:

$729a^6\ ft^2$

Step-by-step explanation:

The area of the square is

$A_{square}=\text{Side}^2$

If one side of the plot was $(3a)^3$ feet long, then the area of the square plot is

$A_{Square\ plot}=((3a)^3)^2\ ft^2$

Simplify this expression

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