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a landscape architect is designing a fence that will enclose a rectangular garden that has a perimeter of 250 feet

 

if the area of the garden is to be at least 1000 square feet

 

write and solve an inequality to find the possible lengths of the fence

 

tell me how i would write an inequality like this

 
Guest Oct 12, 2018
 #1
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The perimeter  =   2 [ W + L ] .....where  W and  L   are the dimensions of the fencing

 

So we have

 

250  = 2 [ W + L ]     divide both sides by 2

 

125  = W + L        subtract L  from both sides

 

125 - L   = W

 

So...the area  A   = 

 

A  = W * L       substitute  125 - L  for W.....and we require that

 

W* L  >   1000

 

( 125 - L) * L  > 1000 

 

125L - L^2  > 1000

 

Sub  x for L   and see the  graph here :

 

https://www.desmos.com/calculator/jzrsiji5qi

 

The possible  lengths, L,  of the fence  =   8.59 ft < L < 116.41 ft

 

cool cool cool

 
CPhill  Oct 12, 2018

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