SOLUTION: The length of a recrangle exceeds its width by 6cm. If each dimensions were increased by 3 cm, the area would be increased by 57. Sq cm. find the dimensions

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Question 964543: The length of a recrangle exceeds its width by 6cm. If each dimensions were increased by 3 cm, the area would be increased by 57. Sq cm. find the dimensions
Answer by macston(5194) About Me  (Show Source):
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W=width; L=length=W+6cm
%28W%2B3cm%29%28L%2B3cm%29=WL%2B57cm%5E2 Substitute for L.
%28W%2B3cm%29%28W%2B6cm%2B3cm%29=W%28W%2B6cm%29%2B57cm%5E2
%28W%2B3cm%29%28W%2B9cm%29=W%5E2%2B6W%2B57
W%5E2%2B12W%2B27=W%5E2%2B6W%2B57
12W%2B27=6W%2B57
6W=30
W=5cm ANSWER 1: The width is 5 cm.
L=W%2B6cm=5cm%2B6cm=11cm ANSWER 2: The length is 11 cm,
CHECK:
%28L%2B3cm%29%28W%2B3cm%29=LW%2B57cm%5E2
%2811cm%2B3cm%29%285cm%2B3cm%29=%2811cm%29%285cm%29%2B57cm%5E2
%2814cm%29%288cm%29=55cm%5E2%2B57cm%5E2
112cm%5E2=112cm%5E2