Problema Solution
A local citizen wants to fence a rectangular community garden. The length go the garden should be at least 110ft., and the distance around should be no more then 380 ft Which system of inequalities and graph represent the possible dimensions of the garden?
Answer provided by our tutors
let
l = the length of the garden, l>0
w = the width of the garden, w>0
The length go the garden should be at least 110 ft:
l >= 110
the distance around should be no more then 380 ft that is the perimeter of the garden should me not more than 380 ft:
2(l + w) < 380 divide both sides by 2
l + w < 190
we have the following system of inequalities:
l >= 110
l + w < 190
w > 0
l > 0
click here to see the graph: