SOLUTION: The length of one rectangular field is 400m more that the side of a square fields. The width is 100 m more than the side of the square field. If the rectangular field has twice the

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: The length of one rectangular field is 400m more that the side of a square fields. The width is 100 m more than the side of the square field. If the rectangular field has twice the      Log On


   

Question 956286: The length of one rectangular field is 400m more that the side of a square fields. The width is 100 m more than the side of the square field. If the rectangular field has twice the area square field, what the dimensions of each field?
Answer by lwsshak3(11628) About Me  (Show Source):
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The length of one rectangular field is 400m more that the side of a square fields. The width is 100 m more than the side of the square field. If the rectangular field has twice the area square field, what the dimensions of each field?
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let x=side of the square field
x+400=length of rectangular field
x+100=width of rectangular field
(x+400)(x+100)=2x^2
x^2+500x+40000=2x^2
x^2-500x-40000=0
solve for x by quadratic formula:
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
a=1, b=-500, c=-40000
ans:
x≈570.156
x+400=970.156
x+100=670.156
side of the square field≈570 m
length of rectangular field≈970 m
width of rectangular field≈670 m