SOLUTION: a new football field under construction will have a total length (including end zones) that is 40 feet more than twice its width. the area of the football field must be calculated

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Question 54900This question is from textbook mathematical reasoning
: a new football field under construction will have a total length (including end zones) that is 40 feet more than twice its width. the area of the football field must be calculated in order to determine the amount of grass seed is necessary to seed the field. Find the area of the field if its perimeter will be 1040 feet. This question is from textbook mathematical reasoning

Answer by checkley71(8403)   (Show Source): You can put this solution on YOUR website!
LENGTH=40+2*WIDTH
1040=2*LENGTH+2*WIDTH
1040=2(40*2W)+2*W
1040=80+4W+2W
1040-80=6W
960=6W
W=160 THEN
L=40+2*160
L=40+320
L=360
PROOF
1040=2*360+2*160
1040=720+320
1040=1040

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