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 1012249: 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 macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
W=width; L=length=W+4cm
.
LW%2B18cm%5E2=%28L%2B1cm%29%28W%2B1cm%29
%28W%2B4cm%29%28W%29%2B18cm%5E2=%28W%2B5cm%29%28W%2B1cm%29
W%5E2%2B4W%2B18=W%5E2%2B6W%2B5
4W%2B18=6W%2B5
18=2W%2B5
13=2W%29%29%29%0D%0A%7B%7B%7B6.5=W
ANSWER 1: The width is 6.5 centimeters.
.
L=W+4cm=6.5cm+4cm=10.5cm
ANSWER 2: The length is 10.5 centimeters.
.
CHECK:
LW%2B18cm%5E2=%28L%2B1cm%29%28W%2B1cm%29
%2810.5cm%29%286.5cm%29%2B18cm%5E2=%2810.5cm%2B1cm%29%286.5cm%2B1cm%29
68.25cm%5E2%2B18cm%5E2=%2811.5cm%29%287.5cm%29
86.25cm%5E2=86.25cm%5E2