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Answer:
<em>The shortest side of the fence can have a maximum length of 80 feet</em>
Step-by-step explanation:
<u>Inequalities</u>
To solve the problem, we use the following variables:
x=length of the longer side
y=length of the sorter side
The perimeter of a rectangle is calculated as:
P = 2x + 2y
The perimeter of the fence must be no larger than 500 feet. This condition can be written as:
The second condition states the longer side of the fence must be 10 feet more than twice the length of the shorter side.
This can be expressed as:
x = 10 + 2y
Substituting into the inequality:
This is the inequality needed to determine the maximum length of the shorter side of the fence.
Operating:
Simplifying:
Subtracting 20:
Solving:
The shortest side of the fence can have a maximum length of 80 feet