A rectangle is bounded by the x-axis, the y-axis, and the line 4- X y = 1.5 y as shown in the figure. 4 What is the maximum area of such a rectangle? O 0.8 O 1 0.5 O 1.2 O 1.25 -0.5+

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.7: Distinguishable Permutations And Combinations
Problem 45E
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A rectangle is bounded by the x-axis, the y-axis, and the line
1.5 y
4 - x
as shown in the figure.
4
What is the maximum area of such a rectangle?
0.8
1
0.5
O 1.2
O 1.25
2
3
-0.5
Transcribed Image Text:A rectangle is bounded by the x-axis, the y-axis, and the line 1.5 y 4 - x as shown in the figure. 4 What is the maximum area of such a rectangle? 0.8 1 0.5 O 1.2 O 1.25 2 3 -0.5
Sue wants to build an enclosed area behind her house for her
pets. One wall of the enclosed area will be the back of her house.
She needs the total area to be 60 square feet. She wants to
minimize the cost of the fence materials. For the sides, W, fence
materials cost $3 per ft, for the length, L, they cost $5 per ft.
L
What dimensions should the fence be?
W = 8.485 ft, L = 7.071 ft
L = 8.485 ft, W = 7.071 ft
O L= 4.243 ft, W = 7.071 ft
O L= 8.485 ft, W = 3.536 ft
%3D
Transcribed Image Text:Sue wants to build an enclosed area behind her house for her pets. One wall of the enclosed area will be the back of her house. She needs the total area to be 60 square feet. She wants to minimize the cost of the fence materials. For the sides, W, fence materials cost $3 per ft, for the length, L, they cost $5 per ft. L What dimensions should the fence be? W = 8.485 ft, L = 7.071 ft L = 8.485 ft, W = 7.071 ft O L= 4.243 ft, W = 7.071 ft O L= 8.485 ft, W = 3.536 ft %3D
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