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?
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L*W = 912
(L+3)*(W-2) = 972
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L = 912/W
Sub for L
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(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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