SOLUTION: A concrete border is constructed around a rectangular flower bed that is 12 ft by 9 ft. find the width of the border if the total area formed by the flower bed and the border is 15

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Question 1001411: A concrete border is constructed around a rectangular flower bed that is 12 ft by 9 ft. find the width of the border if the total area formed by the flower bed and the border is 154 ft.
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
system%28w=9%2CL=12%2CA=154%2Cx=unknownUniformBorderWidth%29

Area border and flower bed, %28L%2B2x%29%28w%2B2x%29
Just area of bed, wL

The COMBINED area is A.
highlight_green%28highlight_green%28%28L%2B2x%29%28w%2B2x%29=A%29%29

Take this quadratic equation as far as you can in pure symbols before substituting the values to find or evaluate the uniform border width, x.