You are building a right-angled triangular flower garden along a stream as shown in the figure. (The borders can be in any directions as long as they are at right angles as shown.) The fencing of the left border costs $4 per foot, while the fencing of the lower border costs $1 per foot. (No fencing is required along the river.) You want to spend $96 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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter6: Systems Of Linear Equations And Inequalities
Section6.3: Elimination Using Addition And Subtraction
Problem 44PFA
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You are building a right-angled triangular flower garden along a stream as shown in the figure. (The borders can be in any directions as long as they are at right angles as shown.)
The fencing of the left border costs $4 per foot, while the fencing of the lower border costs $1 per foot. (No fencing is required along the river.) You want to spend $96 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
Transcribed Image Text:You are building a right-angled triangular flower garden along a stream as shown in the figure. (The borders can be in any directions as long as they are at right angles as shown.) The fencing of the left border costs $4 per foot, while the fencing of the lower border costs $1 per foot. (No fencing is required along the river.) You want to spend $96 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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