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Question 934195: Hi I am trying to figure out the following problem: a rectangular garden has an area of 120 sq ft (sides are 10ft and 12 feet. If you build a path around the garden so that is is equal all the way around, what would that expression look like? What is the additional area of the path? I have the equation as Area = (2x+10)(2x+12)? Where do I go from here????
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! Area = (2x+10)(2x+12)
x = width of the path, you have to decide what the total area (including the path) will be.
If you decide that a total area of 224 sq/ft will fit your requirement
(2x+10)*(2x+12) = 224
FOIL
4x^2 + 24x + 20x + 120 = 224
combine like terms
4x^2 + 44x + 120 - 224 = 0
4x^2 + 44x - 104 = 0
simplify, divide be 4
x^2 + 11x - 26 = 0
This will factor to
(x-2)(x+13) = 0
two solutions
x = -13, not a reasonable solution
and
x = 2 ft is the width of the path
:
check this (4+10)*(4+12) = 224
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