SOLUTION: Alex\ is\ building\ a\ rectangular\ garden\ that\ has\ an\ area\ of\ 912\ square\ feet.\ His\ wife\ decided\ that\ she\ wants\ the\ rectangular\ garden\ to\ have\ an\ area\ of\ 972

Question 1135459: Alex\ is\ building\ a\ rectangular\ garden\ that\ has\ an\ area\ of\ 912\ square\ feet.\ His\ wife\ decided\ that\ she\ wants\ the\ rectangular\ garden\ to\ have\ an\ area\ of\ 972\ square\ feet.\ Alex\ can\ make\ the\ change\ if\ he\ reduces\ the\ width\ of\ the\ garden\ that\ he\ was\ planning\ by\ 2\ feet\ and\ increase\ the\ length\ of\ the\ garden\ that\ he\ was\ planning\ by\ 3\ feet.\ What\ is\ the\ dimensions\ of\ the\ garden\ that\ Alex\ wife\ wants?
Found 2 solutions by josgarithmetic, Alan3354:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
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Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Alex\ is\ building\ a\ rectangular\ garden\ that\ has\ an\ area\ of\ 912\ square\ feet.\ His\ wife\ decided\ that\ she\ wants\ the\ rectangular\ garden\ to\ have\ an\ area\ of\ 972\ square\ feet.\ Alex\ can\ make\ the\ change\ if\ he\ reduces\ the\ width\ of\ the\ garden\ that\ he\ was\ planning\ by\ 2\ feet\ and\ increase\ the\ length\ of\ the\ garden\ that\ he\ was\ planning\ by\ 3\ feet.\ What\ is\ the\ dimensions\ of\ the\ garden\ that\ Alex\ wife\ wants?
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L*W = 912
(L+3)*(W-2) = 972
----
L = 912/W
Sub for L
---
(912/W + 3)*(W-2) = 972
912 - (1824/W) + 3W - 6 = 972
912W - 1824 + 3W^2 - 6W = 972W
3W^2 - 66W - 1824 = 0
Can you do the rest?
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