SOLUTION: I am really needing help. The area of a rectangular athletic field is represented by the expression 81y^2-16z^2 sq meters. Write an algebriac expression to represent one possibl

Algebra ->  Divisibility and Prime Numbers  -> Lessons -> SOLUTION: I am really needing help. The area of a rectangular athletic field is represented by the expression 81y^2-16z^2 sq meters. Write an algebriac expression to represent one possibl      Log On


   

Question 407263: I am really needing help.
The area of a rectangular athletic field is represented by the expression 81y^2-16z^2 sq meters. Write an algebriac expression to represent one possible set of dimensions (in the sense "length times width") of the athletic field. Include correct units.
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
simply factor:
81y^2-16z^2
rewrite as:
(9y)^2 - (4z)^2
the above is a "difference of squares" whic factors to:
(9y-4z)(9y+4z)
.
since area is width*length
one possible set of dimension is:
width is 9y-4z meters
length is 9y+4z meters