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How far is it from one corner of the field to opposite corner? I know I have to use the quadratic formula, but How? Please help!

2007-09-26 20:12:32 · 3 answers · asked by glamour girl 1 in Science & Mathematics Mathematics

3 answers

How can a field have the dimensions you give?
Rather a small field is it not?

2007-09-26 21:48:54 · answer #1 · answered by Como 7 · 1 0

I'm assuming you mean "area is equal to 5 meters squared"

x = length
y = width

xy = 5
2(x + y) = 24

You can use substitution method:
2x + 2y = 24
2x = 24 - 2y
x = 12 - y

(12-y)y = 5
12 - y^2 = 5
y^2 = 7
y = /7 (square root of 7)
x = 12 - /7

To get the distance between opposite corners, you can use Pythagorean theorem, since you can form a right triangle out of it.

c^2 = a^2 + b^2
c^2 = (/7)^2 + (12 - /7)^2
c^2 = 7 + (144 - 2(12)(/7) + 12 - /7)
c^2 = 163 -25 /7
c = /163 - 25/7 (square root of 163 minus twentyfive square root of seven)

2007-09-27 03:28:30 · answer #2 · answered by Patrick P 2 · 0 0

your wording on the question was really weird. type it again and i can help

2007-09-27 03:16:10 · answer #3 · answered by dancexxxdance007 2 · 0 0

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