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

Question

asked Aug 19, 2020 203k views

1 Answer

Codingjeremy · Answer 1 · 2020-08-26T06:18:27+0000

Answer:

$729a^6\ ft^2$

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

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