SOLUTION: a rectangular piece of wood is 12cm longer than it is wide. a strip of 1cm wide is cut off all around. this decreases the area by 120 square centimetres. What were the original dim

Algebra ->  Rectangles -> SOLUTION: a rectangular piece of wood is 12cm longer than it is wide. a strip of 1cm wide is cut off all around. this decreases the area by 120 square centimetres. What were the original dim      Log On


   

Question 1065641: a rectangular piece of wood is 12cm longer than it is wide. a strip of 1cm wide is cut off all around. this decreases the area by 120 square centimetres. What were the original dimensions?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
L=W%2B12
.
.
.
%28L-2%29%28W-2%29=LW-120
LW-2L-2W%2B4=LW-120
2L%2B2W=124
L%2BW=62
Substituting,
W%2B12%2BW=62
2W=50
W=25
So then,
L=25%2B12
L=37