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**+1 **

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

CPhill
Oct 12, 2018