The width of a high school soccer field is 45 yards shorter than its length. a. Define a variable and write an equation for the area of the field. b.The area of the field is 9000 square yards. Find the dimensions of the field.
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The width of a high school soccer field is 45 yards shorter than its length.
a. Define a variable and write an equation for the area of the field.
b.The area of the field is 9000 square yards. Find the dimensions of the field.
Area = Length x Width L x (L – 45) = 9000
L2 – 45L = 9000
L2 – 45L – 9000 = 0
(L + 75) (L – 120) = 0
L = –75 discard - a field can't be a negative number of yards
L = 120
W = 120 – 45
W = 75
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