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
+128460 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
