SOLUTION: A rectangle is three times aslong as it is wide. If it length ans width are both decreased by 2cm, its area is decreased by 36cm2. Find it's orginal demesions. make a sketch as is
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Question 162176This question is from textbook Algebra Structure and Method Book 1
: A rectangle is three times aslong as it is wide. If it length ans width are both decreased by 2cm, its area is decreased by 36cm2. Find it's orginal demesions. make a sketch as is oral exercises 2
This question is from textbook Algebra Structure and Method Book 1
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
l*w=(l-2)(w-2)+36
l=3w
3w*w=(3w-2)(w-2)+36
3w^2=3w^2-8w+4+36
0=-8w+40
8w=40
w=40/8
w=5 for the original width
l=3*5=15 is the original length.
Proof:
15*5=(15-2)(5-2)+36
75=13*3+36
75=39+36
75=75
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