The length and width for a maximum area is 10 popsicle by 10 popsicle.
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 depend on other variables while a dependent variable is a variable that depends on other variables.
Let x represent the length to Craig's house and y represent the width. Hence:
2(x + y) = 40
x + y = 20
y = 20 - x (1)
Area (A) = xy = x(20 - x)
A = 20x - x²
The maximum area is at A' = 0, hence:
A' = 20 - 2x
20 - 2x = 0
x = 10
y = 20 - (10) = 10
The length and width for a maximum area is 10 popsicle by 10 popsicle.
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