SOLUTION: A rectangular garden is 5 ft longer than it is wide. Its area is 6000 "ft"^2. What are its dimensions? Its width equals: Its length equals:

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Question 1042588: A rectangular garden is 5 ft longer than it is wide. Its area is 6000 "ft"^2. What are its dimensions?
Its width equals:
Its length equals:

Found 3 solutions by jorel555, addingup, Fombitz:
Answer by jorel555(1290) About Me  (Show Source):
You can put this solution on YOUR website!
Let width be w. Then length is w+5. So:
w(w+5)=6000
w²+5w-6000=0
(w+80)(w-75)=0
w=75 ft.
w+5=80 ft. ☺☺☺☺

Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
Area = L*W
L = W+5
therefore:
(W+5)*W = 6000
W^2+5W-6000 = 0
(W-75)(W+80) = 0
W-75 = 0 or W+80 = 0
W = 75 or W = -80
Since we're looking for a positive number, let's try 75:
(75+5)*75 = 6000 Correct
:
John

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
L%2AW=6000
L=W%2B5
Substituting,
%28W%2B5%29W=6000
W%5E2%2B5W-6000=0
%28W-75%29%28W%2B80%29=0
Only the positive solution for W make sense in this problem,
W-75=0
W=75ft
Then,
L=75%2B5
L=80ft