4 answers
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P = 2L + 2W
380 > 2(110) + 2W
380 > 220 + 2W
160 > 2W
80 > W
380 > 2(110) + 2W
380 > 220 + 2W
160 > 2W
80 > W
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