SOLUTION: If the length of a given rectangle is increased by 3 inches and the breadth is reduced by 4 inches, then the area is reduced by 67 square inches. If the length is reduced by 1 inc

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Question 1111264: If the length of a given rectangle is increased by 3 inches and the breadth is reduced by 4 inches, then the area is reduced by 67 square inches. If the length is reduced by 1 inch and the breadth is increased by 4 inches, then the area is increased by 89 square inches. Find the length and the breadth of the rectangle.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
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..., length of a given rectangle is increased by 3 inches and the breadth is reduced by 4 inches, then the area is reduced by 67 square inches. ,...
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x, length
y, breadth
xy, area

%28x%2B3%29%28y-4%29=xy-67
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xy%2B3y-4x-12-xy=-67
3y-4x=-67%2B12
3y-4x=-55
highlight_green%284x-3y=55%29

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If the length is reduced by 1 inch and the breadth is increased by 4 inches, then the area is increased by 89 square inches.
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%28x-1%29%28y%2B4%29-xy=89
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xy-y%2B4x-4-xy=89
4x-y-4=89
highlight_green%284x-y=93%29

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system of equations: system%284x-3y=55%2C4x-y=93%29
Solve the system for x and y.


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highlight%28y=19%29 and highlight%28x=28%29