SOLUTION: A rectangle is 4 cm longer than it is wide. If both the length and breadth are increased by 1 cm, the area would be increased by 18 cm2 . Find the length and breadth of the rect

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Question 1012248: A rectangle is 4 cm longer than it is wide. If both the length and breadth are
increased by 1 cm, the area would be increased by 18 cm2
. Find the length
and breadth of the rectangle.
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
x=y+4
(y+4)y,the area

%28x%2B1%29%28y%2B1%29-xy=18
%28y%2B4%29%28y%2B1%29-xy=18
y%5E2%2B5y%2B5-xy=18
y%5E2%2B5y%2B5-%28y%2B4%29y=18
y%5E2%2B5y%2B5-y%5E2-4y-18=0
y%2B5-18=0
y-13=0
highlight%28y=13%29------------highlight%28x=17%29