SOLUTION: As part of a landscaping​ project, put in a flower bed measuring 18 feet by 22 feet. Surround the bed with a uniform border of​ low-growing plants. a. Write a polynomial that

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Question 1134642: As part of a landscaping​ project, put in a flower bed measuring 18 feet by 22 feet. Surround the bed with a uniform border of​ low-growing plants.
a. Write a polynomial that describes the area of the uniform border that surrounds the flower bed.
b. The low growing plants surrounding the flower bed require 1 square foot each when mature. If there are 384 of these​ plants, how wide a strip around the flower bed should be prepared for the​ border?

Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
u, the uniform width surrounding the flower bed
A, the area of the border surrounding the flower bed


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If 1 plant needs 1 square foot, and if 384 of the low growing plants, then this means border containing the low grow plants must be 384 square feet.

Simplify and solve.




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Note that , and the two binomial factors on the left differ by two.

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