SOLUTION: The area of a rectangle remains unchanged when it is made 2cm shorter and 2cm wider or when it is made 8cm longer and 4cm narrower. what is its area, in square cm.
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Question 752457: The area of a rectangle remains unchanged when it is made 2cm shorter and 2cm wider or when it is made 8cm longer and 4cm narrower. what is its area, in square cm. Answer by Edwin McCravy(20055) (Show Source):
You can put this solution on YOUR website! The area of a rectangle remains unchanged when it is made 2cm shorter and 2cm wider or when it is made 8cm longer and 4cm narrower. what is its area, in square cm.
LW = (L-2)(W+2) = (L+8)(W-4)
LW = LW+2L-2W-4 = LW-4L+8W-32
Subtract LW from all three
0 = 2L-2W-4 = -4L+8W-32
So we have the two equations:
2L-2W- 4 = 0
-4L+8W-32 = 0
2L-2W = 4
-4L+8W = 32
Solve that system of equations and get:
L = 12 cm²
W = 10 cm²
Edwin
