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guapka [62]
3 years ago
7

Joey wants to build a rectangular garden. He plans to use a side of a river for one side of the garden, he will not place fencin

g along this side of the garden. He has 92 yards of fencing material. What is the maximum area that will be enclosed

Mathematics
2 answers:
Anna007 [38]3 years ago
8 0

Answer:

Just took it!

Step-by-step explanation:

jonny [76]3 years ago
4 0

We let x and y be the measures of the sides of the rectangular garden. The perimeter subtracted with the other side should be equal to 92.

<span>                                                       2x + y = 92</span>

The value of y in terms of x is equal to,

<span>                                            y = 92 – 2x</span>

The area is the product of the two sides,

<span>                                                                        A = xy</span>

Substituting,

<span>                                                            A = x (92 – 2x) = 92x – 2x2</span>

Solving for the derivative and equating to zero,

<span>                                                            0 = 92 – 4x  ; x = 23</span>

Therefore, the area of the garden is,

<span>                                                            A = 23(92 – 2(23)) = 1058 yard<span>2</span></span>

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