SOLUTION: A square vegetable garden is to be tilled and then enclosed with a fence. If the fence costs $4.00 per foot and the cost of preparing the soil is $0.80 per ft^2, determine the size
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Question 901507: A square vegetable garden is to be tilled and then enclosed with a fence. If the fence costs $4.00 per foot and the cost of preparing the soil is $0.80 per ft^2, determine the size of the garden that can be enclosed for $640.00.
________ ft^2
Answer by josgarithmetic(39626) (Show Source): You can put this solution on YOUR website!
Let x be the side length of the square garden.
Perimeter is .
Area is .
Fence cost, dollars
Soil preparation cost, dollars
Total cost wanted is $640;
Possible simplification:
Using this equation, first find discriminant:
.
Discriminant is .
(The quadratic equation is factorable, and that could be done if desired).
ANSWER CONCLUSION: Garden side length, 20 feet, and area 400 square feet.
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