anonymous
  • anonymous
The length of a rectangle is 2m more than the width. The area of the rectangle is 20 m^2. Find the dimensions of the rectangle, to the nearest tenth of a metre.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
The answer is 3.6 m by 5.6m... how?
anonymous
  • anonymous
We know that for a rectangle, the area is length x width A = l*w We know that the length is 2 meters more than the width So the the length minus 2 in the width => l - 2 = w l = w + 2 Substitutin in the area formula: A = (w+2)(w) 20 = w(w+2) Solve for w using the quadratic equation, then using the w you can find l
anonymous
  • anonymous
solve for w using the quadratic equation? so it's going ot be w^2 + 2w - 20 = 0

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anonymous
  • anonymous
yup
anonymous
  • anonymous
ohhhh,
anonymous
  • anonymous
Get it now? :)
anonymous
  • anonymous
yup! Oh, but what's a product of -20 and a sum -20? o.o
anonymous
  • anonymous
Product of -20, sum of 2... Do you know how to use the quadratic equation?
anonymous
  • anonymous
sort of.. isn't it like factoring?
anonymous
  • anonymous
Its like factoring, but when like integer numbers dont work to solve the equation http://www.oncalc.com/wp-content/uploads/2011/02/quadratic-equation-calculator.gif
anonymous
  • anonymous
You see that equation before?
anonymous
  • anonymous
ohhhh the quadratic formula?
anonymous
  • anonymous
Yeah, sorry didnt know what you call it
anonymous
  • anonymous
it's okay. But what about it? That's all I use after I've figured it's w^2 + 2w - 20 =0?
anonymous
  • anonymous
Yup, plug it in to the quadratic formula
anonymous
  • anonymous
ohh, thank you!
anonymous
  • anonymous
Okay, well I got -2 +/- 2sqr.rt:21/2 ...
anonymous
  • anonymous
punch that into a calculator and what do you get?
anonymous
  • anonymous
so I don't have to do 2(-2 +/- sqr.rt:21/2?
anonymous
  • anonymous
well what number do you get from that?
anonymous
  • anonymous
Like evaluate the expression
anonymous
  • anonymous
not the answer.
anonymous
  • anonymous
(-2 + sqrt ( 4 - 4(1)(-20) )/ 2
anonymous
  • anonymous
I got 3.58
anonymous
  • anonymous
if you do (-2 - sqrt ( 4 - 4(1)(-20) )/ 2 , you get a negative number, and can omit it because there is no such thing as negaive lengths

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