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Who many ways can I get 40cm2 with a perimeter of 36?

Guest Apr 20, 2017
 #1
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I don't know

Guest Apr 20, 2017
 #2
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+1

Area = 40 cm^2

Perimeter  = 36 cm

 

So

 

36 =  2 (W + L)

18 =  W + L

18 - L  = W           (1)

 

And

 

40  = L * W        substitute  (1)  for W

40  = L (18 - L)

40  =  18L - L^2       rearrange as

L^2 - 18L + 40 =  0      

 

Using the quadratic formula...the two solutions for L  are

 

[9  - √41] cm       and   [ 9 + √41  ] cm

 

And depending upon which value we assign to the length, the width will be the other value [i.e., the conjugate value ]

 

So  .....the resulting figure will be a rectangle having these two dimensions

 

 

cool cool cool

CPhill  Apr 20, 2017

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