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 inequalities that models the possible dimensions of the garden. Graph the system to show all possible solutions.
A
B
C
D
A
The answer is C
pov here in 2021
let the length be x
let the width be y
so 2x + 2y < 380
x + y < 190
also x > 110
to graph:
draw a vertical line (dotted) at x = 110
shade in the region to the right of that line
draw the line x+y = 190 , use the intercepts, its easy that way
shade in the region below that line
The region shaded between the two lines and above the x-axis represents your solution. Any point in that region satisfies both conditions.
I suggest using 1 unit on your grid to be 50 ft
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