Question

Betty is given 40 Popsicle sticks to build a fence for her toy house. What is the maximum area she can fence in? What are the length and width in Popsicle sticks?​

Answer 1

The length and width for a maximum area is 10 popsicle by 10 popsicle.

What is an equation?

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.

Find out more on equation at: brainly.com/question/2972832

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