Question

The area of a rectangular athletic field is represented by the expression 36y^2-81z^2 square meters. Write an algebraic expression to represent one possible set of dimensions (in the sense “length times width”) of the athletic field. Include correct units with your solution.

Answer 1

Area of the field=
\[36y ^{2}-81z ^{2}\]
Which is same as:
\[(6y+9z)(6y-9z)\]
So I am assuming that:
Length=\[(6y+9z)\]
And breath=
\[(6y-9z)\]
So the expression you need is:
\[(6y+9z)(6y−9z) \]

Answer 2

difference of squares

--> (6y-9z)(6y+9z)

Answer 3

\[(6y+9z)(6y−9z) m ^{2}\]* sorry forgot units before.

Answer 4

thank you

Answer 5

No problem.