hugy0212
  • hugy0212
Stanford University's soccer field has an area of 8800 square yards. Its length is 30 yards longer than its width. 1. Write an expression for each dimension (length and width) of the soccer field. 2.Write an equation and solve for the dimensions of the soccer field.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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Vocaloid
  • Vocaloid
let length = L and width = W, with me so far?
hugy0212
  • hugy0212
yes
Vocaloid
  • Vocaloid
"length is 30 yards longer than its width. " means that L = 30 + W so length = 30 + W and width = W, that takes care of #1

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Vocaloid
  • Vocaloid
for #2, we let length*width = area so W(W+30) = 8800 solve for W
hugy0212
  • hugy0212
Do I distribute the W ?
Vocaloid
  • Vocaloid
yes
hugy0212
  • hugy0212
W^2+30W=8800
Vocaloid
  • Vocaloid
good, now subtract 8800 from each side
hugy0212
  • hugy0212
Is it -8800W^2-8770W?
Vocaloid
  • Vocaloid
nope
Vocaloid
  • Vocaloid
remember that you cannot combine numbers and variables
Vocaloid
  • Vocaloid
W^2+30W-8800=0
hugy0212
  • hugy0212
So it'll be W^2+30W-8800
Vocaloid
  • Vocaloid
yes, now factor
Vocaloid
  • Vocaloid
W^2+30W-8800 = ?
hugy0212
  • hugy0212
can and 10 and 880 work?
Vocaloid
  • Vocaloid
nope, think carefully our two factors must add to 30 and multiply to get 8800
Vocaloid
  • Vocaloid
W^2+30W-8800 = (W+110)(W-80), know where to go from here?
hugy0212
  • hugy0212
Do i solve for W?
Vocaloid
  • Vocaloid
yes
hugy0212
  • hugy0212
W=-110 and W=80
Vocaloid
  • Vocaloid
good, now remember that W is width, and width must be positive so W = 80
Vocaloid
  • Vocaloid
now find L
hugy0212
  • hugy0212
L=110
Vocaloid
  • Vocaloid
good! that should b everything
hugy0212
  • hugy0212
Thank you so much!!

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