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.

Question

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.

anonymous · Answer

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

amistre64 · Answer

first off factor out the excess baggage

anonymous · Answer

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

amistre64 · Answer

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

amistre64 · Answer

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

anonymous · Answer

no there is no typo. why do you ask

amistre64 · Answer

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

anonymous · Answer

no it is z^7

amistre64 · Answer

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

amistre64 · Answer

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

anonymous · Answer

what

amistre64 · Answer

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

amistre64 · Answer

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

anonymous · Answer

ok.

anonymous · Answer

in the problem it is meters, so the answer would be L= 3z^2 meters and W= 3z^5-14z^2+24 meters.