A school is building a rectangular soccer field that has an area of 6000 square yards. The soccer fi

Mathematics
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A school is building a rectangular soccer field that has an area of 6000 square yards. The soccer field must be 40 yards longer than its width. Determine algebraically the dimensions of the soccer field, in yards.

 

Jun 5th, 2015

Thank you for the opportunity to help you with your question!

let the width be x and length x+4

area =LW

x(x+40)=6000

x^2+40x=6000

x^2+100x-60x-6000=0

x(x+100)-60(x+100)=0

(x-60)(X+100)=0

x=60 or -100

widith=60 yards and length=100 yards

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 5th, 2015

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