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

`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`