anonymous
  • anonymous
The length of a rectangle is 2 meters more than its width.If the area is 63 meters,what are the length and width?
Mathematics
katieb
  • katieb
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amistre64
  • amistre64
Area = LW; L=W+2 63 = (W+2)(W) 63 = W^2 + 2W W^2 +W - 63 = 0 so far so good?
anonymous
  • anonymous
yes
amistre64
  • amistre64
the fastest way to solve a quadratic is with the quadratic formula, do you know the quadratic formula?

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anonymous
  • anonymous
not really
amistre64
  • amistre64
Do you know how to "complete the square"? which is the long proof for the quad formula?
anonymous
  • anonymous
no
amistre64
  • amistre64
which one would you like to learn?
anonymous
  • anonymous
the fastest way
amistre64
  • amistre64
lol.... good answer
amistre64
  • amistre64
the quad formula is: -(middle) +- sqrt(middle^2 - (4)(first)(last)) -------------------------------------- 2(first) Lets plug it in :)
amistre64
  • amistre64
(1)W^2 +(1)W - 63 -1 +- sqrt(1^2 -4(1)(-63)) ------------------------ 2(1)
amistre64
  • amistre64
-1 +- sqrt(1+252) ---------------- 2
amistre64
  • amistre64
-1 +- sqrt(253) --- -------- 2 2 now we use a calculator :)
amistre64
  • amistre64
W = about 7.45
amistre64
  • amistre64
we actually get 2 answers, but we can throw out the negative because area is not a negative measurement
amistre64
  • amistre64
L = W+2 so about 9.45 if I did it right :)
amistre64
  • amistre64
becuase I chopped off alot of decimals, we get a skewed result. but its close
anonymous
  • anonymous
so we divided the number above and this is the results
amistre64
  • amistre64
as close as I can get :) barring I havent made any mistakes
anonymous
  • anonymous
so what is the square root of 253
anonymous
  • anonymous
i got 7.95
amistre64
  • amistre64
sqrt(253)=15.905973720586866353745477830541
anonymous
  • anonymous
yes and divided by 2 is 7.95529865
amistre64
  • amistre64
-.5
anonymous
  • anonymous
7.95 + 2 meters is 9.95 correct
amistre64
  • amistre64
still need to take away .5 from 7.955.......
anonymous
  • anonymous
where did -5 come from
amistre64
  • amistre64
-1 +- sqrt(253) --- -------- 2 2 the first part here is -1/2
anonymous
  • anonymous
ohhhhhh.....ok.......i see
anonymous
  • anonymous
so what does the final answer look like
amistre64
  • amistre64
itll probably include a radical sign for an eexat nswer; but the best I can do with an estimate is: W=about 7.45 and L=about 9.45
anonymous
  • anonymous
ok
anonymous
  • anonymous
can you help me with another one
amistre64
  • amistre64
i dunno, my computer is slowing down something feirce. try it in another question post; and ill see what i can do
anonymous
  • anonymous
ok
amistre64
  • amistre64
I know...iknow..... i see where I messed up. A=63; L=9 and W=7 i lost a "2" in the equation somewhere lol... w^2 +[2]w -63 = 0 <---THAT ONE!! -2/2 + sqrt(4 - (4)(1)(-63))/2 -1 + sqrt([252] +4)/2 <-AND I forgot how to multiply -1 + sqrt(256)/2 -1 + 16/2 -1 + 8 W = 7 L= W+2 = 7+2 = 9 Area = 9(7) = 63 Are ya happy now :)

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