Fence Length. A fence is to be built around a rectangular area of 10 square metres. The dimensions are x and y. On one of the sides with length x, there is a gap of 0.5x that has no fence. The goal is to find the dimensions for the minimum fence length. (a) The length equation can be expressed as 20 O L(x)=1.5x+ 20 O L(X)=1.5x+- O L(x)=10+2x 20 O L(x)=2x+- 10 O L(x)=1.5x+-

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.6: Quadratic Functions
Problem 46E
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Fence Length. A fence is to be built around a rectangular area of 10 square metres. The dimensions are x and y. On one of
the sides with length x, there is a gap of 0.5x that has no fence. The goal is to find the dimensions for the minimum fence
length.
(a) The length equation can be expressed as
20
L(x)=1.5x+-
x2
20
O L(x)=1.5x+-
O L(x)=10+2x
20
O L(x)=2x+
10
O L(X)=1.5x+-
(b) The length x for the minimum fence length is
3.16 m
3.33 m
None of the other answers
3.14 m
3.65 m
Transcribed Image Text:Fence Length. A fence is to be built around a rectangular area of 10 square metres. The dimensions are x and y. On one of the sides with length x, there is a gap of 0.5x that has no fence. The goal is to find the dimensions for the minimum fence length. (a) The length equation can be expressed as 20 L(x)=1.5x+- x2 20 O L(x)=1.5x+- O L(x)=10+2x 20 O L(x)=2x+ 10 O L(X)=1.5x+- (b) The length x for the minimum fence length is 3.16 m 3.33 m None of the other answers 3.14 m 3.65 m
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