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

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) (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
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