SOLUTION: A garden measuring 12 meters by 20 meters is to have a pedestrian pathway installed all around it, increasing the total area to 408.36 square meters. What will be the width of the
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Question 797298: A garden measuring 12 meters by 20 meters is to have a pedestrian pathway installed all around it, increasing the total area to 408.36 square meters. What will be the width of the pathway?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Length of a rectangular area: 
Width of a rectangular area: 
Width of a uniform-width enclosing area: 
Overall length is then: 
Overall width is then: 
(Note factor of 2 because the width of the enclosing area is on all four sides)
Total Area is then \left(w\ +\ 2w_p\right)\ =\ A_T)
Plug in your numbers for 
and 
, FOIL the two binomials, and then solve the resulting quadratic for . If you happen to get a negative root (and you will given correct arithmetic), discard it.
John
Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
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