anonymous
  • anonymous
The area of a rectangular athletic field is represented by the expression 9z^7-42z^4+72z^2 square meters. Write an algebraic expression to represent one possible set of dimensions (in he sense of length times width) of the athletic field. Include correct units with your solution.
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
m afraid i dont understand wt u mean by representing one set of dimensions
amistre64
  • amistre64
first off factor out the excess baggage
anonymous
  • anonymous
as in the length and the width of the rectangular field.

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amistre64
  • amistre64
z^2(9z^5 -42z^2 +72)...you sure there aint a typo in this?
amistre64
  • amistre64
3z^2 (3z^5 -14z^2 +24)
anonymous
  • anonymous
no there is no typo. why do you ask
amistre64
  • amistre64
that z^7 is an odd thing to work with...thought maybe it was spoosed to be z^6
anonymous
  • anonymous
no it is z^7
amistre64
  • amistre64
with this factored version you have 2 'numbers' to represent a length and width; just pick a z>0...maybe a 1?
amistre64
  • amistre64
3(3-14+24) 3(13) seems fetching ;)
anonymous
  • anonymous
what
amistre64
  • amistre64
the length is (3z^2) ft the width is (3z^5 -14z^2 +24) ft
amistre64
  • amistre64
whatever number you choose for 'z' will give you a product of lenth times width whichis equal to area
anonymous
  • anonymous
ok.
anonymous
  • anonymous
in the problem it is meters, so the answer would be L= 3z^2 meters and W= 3z^5-14z^2+24 meters.

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