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. What system of inequalities would represent the possible dimensions of the garden?
P = 2L + 2W
380 > 2(110) + 2W
380 > 220 + 2W
160 > 2W
80 > W
thank you
You're welcome.
To represent the possible dimensions of the rectangular community garden, we need to consider two inequalities: one for the length and one for the perimeter.
Let's assign variables to the dimensions of the garden. Let's say the length is "L" and the width is "W".
1. Length Inequality:
The problem states that the length of the garden should be at least 110 ft. Therefore, the length inequality is:
L ≥ 110
2. Perimeter Inequality:
The perimeter of a rectangle is given by the formula P = 2L + 2W, where P is the perimeter, L is the length, and W is the width.
The problem states that the distance around the garden should be no more than 380 ft. Therefore, the perimeter inequality is:
2L + 2W ≤ 380
So, the system of inequalities representing the possible dimensions of the garden would be:
L ≥ 110
2L + 2W ≤ 380