Posted by **danica** on Friday, October 26, 2012 at 4:30pm.

the perimeter of a rectangle is 160m and its area is 1200m^2 find its dimensions

- math -
**Ms. Sue**, Friday, October 26, 2012 at 4:58pm
I'll get you started.

√ 1200 = 34.64

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**danica**, Friday, October 26, 2012 at 5:00pm
then what i seriously have no clue what im doing

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**Ms. Sue**, Friday, October 26, 2012 at 5:26pm
With a little trial and error, I found that the dimensions must be 20 by 60

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**Reiny**, Friday, October 26, 2012 at 5:29pm
2w + 2l = 160

w+l = 80

l= 80-w

wl = 1200

w(80-w) = 1200

80w - w^2 - 1200=0

w^2 - 80w + 1200 = 0

(w-20)(w - 60) = 0

w = 20 or w = 60

if w = 20, then l = 80-20 = 60

and if w - 60 , then l = 80-60 = 20

So the rectangle is 20 by 60 as Ms Sue found by trial-and-error

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