Question 173354
"The length of a rectangle is approximately 1.6 times the width" translates to {{{L=1.6W}}}



Since the area of any rectangle is {{{A=LW}}} and the area is "9000m^2", this means that {{{A=9000}}}



{{{A=LW}}} Start with the second equation



{{{9000=(1.6W)W}}} Plug in {{{A=9000}}} and {{{L=1.6W}}}



{{{9000=W(1.6W)}}} Rearrange the terms.



{{{9000=1.6W^2}}} Multiply



{{{9000/1.6=W^2}}} Divide both sides by 1.6



{{{5625=W^2}}} Divide.



{{{sqrt(5625)=W}}} Take the square root of both sides. Note: only the positive square root is considered (since a negative width doesn't make sense)



{{{75=W}}} Take the square root of 5625 to get 75



So the first answer is {{{W=75}}} which means that the width is 75 meters.



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{{{L=1.6W}}} Go back to the first equation



{{{L=1.6(75)}}} Plug in {{{W=75}}}



{{{L=120}}} Multiply




So the second answer is {{{L=120}}} which means that the length is 120 meters.



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Answer:



So the solutions are {{{W=75}}} and {{{L=120}}} which means that the width is 75 meters and the length is 120 meters.