SOLUTION: A rectangular flower garden has a length that is 3 feet less than twice it's width. A 3 foot brick border is added around the garden, and the area of the garden and the brick borde

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Question 993466: A rectangular flower garden has a length that is 3 feet less than twice it's width. A 3 foot brick border is added around the garden, and the area of the garden and the brick border is a total of 221 square feet. Find the dimensions of the garden without the brick border.
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
w and L, garden dimensions.
u, the uniform width of the border around the garden.
L=2w-3 according to the description.
A=221, the border path's area.

Total Area, %28w%2B2u%29%28L%2B2u%29
Border Area, %28w%2B2u%29%28L%2B2u%29-wL=A
Simplify this A equation, at least partially:
wL%2B2uL%2B2uw-wL-A=0
2uL%2B2uw-A=0


Substitute for L according to the description.
highlight_green%282u%282w-3%29%2B2uw-A=0%29
.......Can you take this the rest of the way?