SOLUTION: A landscaper who just completed a rectangular flower garden measuring 6ft by 10ft orders 1 cubic yard of premixed cement all of which is to be used to create a border of uniform wi

Question 1016194: A landscaper who just completed a rectangular flower garden measuring 6ft by 10ft orders 1 cubic yard of premixed cement all of which is to be used to create a border of uniform width around the garden. if the border is to have a depth of 3 inches how wide will the border be? 1 cubic yd = 27 cubic feet.
Answer by FrankM(1040) (Show Source): You can put this solution on YOUR website!
6'x10' is 72"x120"
This is similar to the "picture frame" problems with a couple differences.
27 cu ft is 27*12x12x12 = 46656 cu inches. With a 3" depth, we have 15552 square inches of boarder.
The garden is 72x120= 8640 square inches.
When we add the border, we get
(72+2x)(120+2x)=24192 (the sum of 8640+15552)

Quadratic formula gives 30.69 as the positive solution. Please double check this. Not all problems offer a nice integer answer, but I may have an error somewhere.

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