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- 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.

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- anonymous

- chestercat

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- anonymous

m afraid i dont understand wt u mean by representing one set of dimensions

- amistre64

first off factor out the excess baggage

- anonymous

as in the length and the width of the rectangular field.

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- amistre64

z^2(9z^5 -42z^2 +72)...you sure there aint a typo in this?

- amistre64

3z^2 (3z^5 -14z^2 +24)

- anonymous

no there is no typo. why do you ask

- amistre64

that z^7 is an odd thing to work with...thought maybe it was spoosed to be z^6

- anonymous

no it is z^7

- amistre64

with this factored version you have 2 'numbers' to represent a length and width; just pick a z>0...maybe a 1?

- amistre64

3(3-14+24)
3(13) seems fetching ;)

- anonymous

what

- amistre64

the length is (3z^2) ft
the width is (3z^5 -14z^2 +24) ft

- amistre64

whatever number you choose for 'z' will give you a product of lenth times width whichis equal to area

- anonymous

ok.

- 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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