SOLUTION: Please help. The area of a rectangular athletic field is represented by the expression -8y^9-32z^4+56x^2 square meters. Write an algebraic expression to represent one possible set

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please help. The area of a rectangular athletic field is represented by the expression -8y^9-32z^4+56x^2 square meters. Write an algebraic expression to represent one possible set       Log On


   

Question 616943: Please help. The area of a rectangular athletic field is represented by the expression -8y^9-32z^4+56x^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 by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
As you say, area of a rectangle is length times width. So we want to express the given area as the product of a length and width. So let's factor it:
Area = -8y%5E9-32z%5E4%2B56x%5E2+=+8%28-y%5E9-4z%5E4%2B7x%5E2%29

Since -y%5E9-4z%5E4%2B7x%5E2 seems bigger, let's call that the length, making the 8 the width. So the dimensions are
length = -y%5E9-4z%5E4%2B7x%5E2 meters
width = 8 meters