Question

House Figure 1 x A(x) (7,147) Figure 2 Tessa has 42 ft of fencing available to construct a fence that will divide her garden into two rectangular sections. Her house forms one side of the garden and x represents the width, as shown in Figure 1. (a) Express the total area of the two sections as a function of x. $A(x) = 42x - 2x^2$

Name: house figure 1 x ax 7147 figure 2 tessa has 42 ft of fencing available to construct a fence that will divide her garden into two rectangular sections her house forms one side of the garden a 11475
Uploaded: 2023-07-07T08:31:59-08:00
Duration: 1 min 47 s
Channel: Sri K
Description: house figure 1 x ax 7147 figure 2 tessa has 42 ft of fencing available to construct a fence that will divide her garden into two rectangular sections her house forms one side of the garden a 11475

          House
Figure 1
x
A(x)
(7,147)
Figure 2
Tessa has 42 ft of fencing available to construct a fence that will divide her garden into two rectangular sections. Her house forms one side of the garden and x represents the width, as shown in Figure 1.
(a) Express the total area of the two sections as a function of x.
$A(x) = 42x - 2x^2$

house figure 1 x ax 7147 figure 2 tessa has 42 ft of fencing available to construct a fence that will divide her garden into two rectangular sections her house forms one side of the garden a 11475

Added by James V.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Sri K

07/07/2023

Step 1

Since there are two sections, there are three widths of length $x$. Let the length of the fence be $y$. The total length of the fence is 42 ft. So, $3x + y = 42$. We can express $y$ in terms of $x$: $y = 42 - 3x$. Show more…

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House Figure 1 x A(x) (7,147) Figure 2 Tessa has 42 ft of fencing available to construct a fence that will divide her garden into two rectangular sections. Her house forms one side of the garden and x represents the width, as shown in Figure 1. (a) Express the total area of the two sections as a function of x. $A(x) = 42x - 2x^2$