The largest area that Steve can make with a fence of 60 feet is 225 feet²
<h3>What is an equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.
Let x represent the length and y represent the width, hence:
2(x + y) = 60
x + y = 30
y = 30 - x
The area (A) is:
A = xy
A = x(30 - x) = 30x - x²
The maximum area is at A' = 0, hence:
A' = 30 - 2x
30 - 2x = 0
2x = 30
x = 15 feet
y = 30 - 15 = 15 feet
Area = 15 * 15 = 225 feet²
The largest area that Steve can make with a fence of 60 feet is 225 feet²
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