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a soccer field is 70 yards shorter 3 times its width. Its perimeter is 380 yards. Find the length and width of the field

User RuiDC
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1 Answer

5 votes
let
x--------> the length of a soccer field
y--------> the width of a soccer field

we know that
x=3y-70--------> equation 1
perimeter=2*[x+y]------> 380=2x+2y--------> equation 2

substitute 1 in 2
380=2*[3y-70]+2y-----> 380=6y-140+2y----> 8y=520----> y=65 yd
x=3y-70----> x=3*65-70-----> x=125 yd

the answer is
the length of a soccer field is 125 yd
the width of a soccer field is 65 yd



User Morris Franken
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