Thee area of the rectangle athletic field represented by the expressio 25y^2-4z^2 square meters. Write an algebriac expression to represent one possible set of dimensions(in the sense''length times width'')of the athletic field. include units with the solution

25y^2 - 4z^2

A = Lw

Factor, 25y^2-4z^2
(5y - 2z)(5y + 2z)

L = (5y - 2z) m^2
w = (5y + 2z) m^2

To find the dimensions of the rectangular athletic field represented by the expression 25y^2 - 4z^2 square meters, we need to factorize the expression.

The given expression can be written as the difference of squares:
25y^2 - 4z^2 = (5y)^2 - (2z)^2 = (5y + 2z)(5y - 2z)

Now, we can consider the dimensions of the athletic field to be (5y + 2z) meters in length and (5y - 2z) meters in width.

Therefore, the algebraic expression representing the dimensions of one possible set of dimensions is:
(5y + 2z) × (5y - 2z) square meters.