Answered

Get expert insights and community-driven knowledge on IDNLearn.com. Get accurate and comprehensive answers from our network of experienced professionals.

Beth is going to enclose a rectangular area in back of her house. the house wall will form one of the four sides of the fenced in area, so beth will only need to construct three sides of fencing. beth has 48 feet of fencing. she wants to enclose the maximum possible area. what amount of fence should beth use for the side labeled x?

Sagot :

Raphealnwobiidn

The maximum possible area would have a length of 24 feet and width of 12 feet.

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 and y represent the width, hence:

Since beth has 48 ft fencing and cover 3 sides, hence:

x + 2y = 48  

x = 48 - 2y     (1)

Also:

Area (A) = xy

A = (48 - 2y)y

A = 48y - 2y²

The maximum area is at A' = 0, hence:

A' = 48 - 4y

48 - 4y = 0

y = 12 feet

x = 48 - 2(12) = 24

The maximum possible area would have a length of 24 feet and width of 12 feet.

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

#SPJ1

We greatly appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. Your questions are important to us at IDNLearn.com. Thanks for stopping by, and come back for more reliable solutions.