Question

A local citizen wants to fence a rectangular community gardenn. The length of the garden should be at least 110ft,and the distance around should be no more than 180ft. Write a system of inequality that model the possible dimensions of he garden. Graph the system to show all possible solutions

Answer 1

The question is incorrect
the correct question is
A local citizen wants to fence a rectangular community garden. The length of the garden should be at least 110 ft,and the distance around should be no more than 380 ft. Write a system of inequality that model the possible dimensions of he garden. Graph the system to show all possible solutions

let
x---------------> the length of the garden
y---------------> the wide of the garden

we know that
x>=110
2x+2y <=380---------------> x+y <= 190

Part A) Write a system of inequality that model the possible dimensions of he garden

the answer part A) is
x>=110
x+y <= 190


Part B) Graph the system to show all possible solutions

using a graph tool
see the attached figure
the solution is the triangle show in the figure

the possible solutions of y (wide) would be between 0 and 80 ft
the possible solutions of x (length) would be between 110 ft and 190 ft