The fencing of the left border costs $5 per foot, while the fencing of the lower border costs $1 per foot. (No fencing is required along the river.) You want to spend $140 and enclose as much area as possible. What are the dimensions of your garden, and what area does it enclose?   HINT: The  area of a right-triangle is given by  A =  xy 2.   left border ft = bottom border ft = garden area ft2.   =

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter3: Triangles
Section3.5: Inequalities In A Triangles
Problem 39E
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The fencing of the left border costs $5 per foot, while the fencing of the lower border costs $1 per foot. (No fencing is required along the river.) You want to spend $140 and enclose as much area as possible. What are the dimensions of your garden, and what area does it enclose? 
 
HINT: The
 area of a right-triangle is given by 
A = 
xy
2
.
 
left border ft =
bottom border ft =
garden area ft2.   = 
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