A gardener has 100 meters of fencing to enclose two adjacent rectangular gardens, as shown in the figure. 4x + 3y = 100 %3D (a) Write the area of the enclosed region as a function of x. A(x) = (b) Use a graphing utility to generate additional rows of the table. (Round your answers to one decimal place.) y Area 92 = 30.7 368 = 122.7 2 4 28 224 6. 10 12 14 Use the table to estimate the dimensions that will produce a maximum area. (Round your answers to one decim longer side 2x = m shorter side y = E E

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.1: Systems Of Equations
Problem 67E
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A gardener has 100 meters of fencing to enclose two adjacent rectangular gardens, as shown in the figure.
4х + 3у%3D 100
(a) Write the area of the enclosed region as a function of x.
A(x) =
(b) Use a graphing utility to generate additional rows of the table. (Round your answers to one decimal place.)
y
Area
92
368
= 30.7
3
* 122.7
2
4
28
224
8
10
12
14
Use the table to estimate the dimensions that will produce a maximum area. (Round your answers to one decimal place.)
longer side
2x =
shorter side
y =
m
E E
RER
Transcribed Image Text:A gardener has 100 meters of fencing to enclose two adjacent rectangular gardens, as shown in the figure. 4х + 3у%3D 100 (a) Write the area of the enclosed region as a function of x. A(x) = (b) Use a graphing utility to generate additional rows of the table. (Round your answers to one decimal place.) y Area 92 368 = 30.7 3 * 122.7 2 4 28 224 8 10 12 14 Use the table to estimate the dimensions that will produce a maximum area. (Round your answers to one decimal place.) longer side 2x = shorter side y = m E E RER
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