SOLUTION: The Length of Hillcrest Garden is 6 feet more than its width. A walkway 3 feet wide surrounds the outside of the garden. The total area of the walkway is 288 square feet. Find the

Question 346355: The Length of Hillcrest Garden is 6 feet more than its width. A walkway 3 feet wide surrounds the outside of the garden. The total area of the walkway is 288 square feet. Find the dimensions of the garden.
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
L=W+6
(L+6)(W+6)-LW=288 REPLACE L WITH (W+6)
[(W+6)+6](W+6)]-(W+6)W=288
[(W+12)(W+6)]-(W^2+6W)=288
W^2+18W+72-W^2-6W=288
12W=288-72
12W=216
W=216/12
W=18 FT. FOR THE WIDTH OF THE GARDEN.
L=18+6=24 FT. FOR THE LENGTH OF THE GARDEN.
PROOF:
(24+6)(18+6)-24*18=288
30*24-432=288
720-432=288
288=288
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