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Alekssandra [29.7K]
2 years ago
8

G.MG.3 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 f

enced 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.
Mathematics
1 answer:
mina [271]2 years ago
6 0

The maximum area of the rectangular path is when the length is 24 feet and the width is 12 feet.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the length and y represent the width. Hence:

There is 48 feet of fencing:

x + 2y = 48

x  = 48 - 2y   (1)

The area (A) is:

A = xy = y(48 - 2y)

A = 48y - 2y²

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

48 - 4y = 0

y = 12

x = 48 - 2(12) = 24

The maximum area of the rectangular path is when the length is 24 feet and the width is 12 feet.

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

#SPJ1

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