SOLUTION: The perimeter of a rectangle is 62 meters. If the width was doubled and the length was increased by 21 meters, the perimeter would be 120 meters. What are the length and width of t

Algebra ->  Test -> SOLUTION: The perimeter of a rectangle is 62 meters. If the width was doubled and the length was increased by 21 meters, the perimeter would be 120 meters. What are the length and width of t      Log On


   

Question 314502: The perimeter of a rectangle is 62 meters. If the width was doubled and the length was increased by 21 meters, the perimeter would be 120 meters. What are the length and width of the original rectangle.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
P1=2%2A%28L%2BW%29=62
1.L%2BW=31
.
.
.
P2=2%2A%28L%2B21%2B2W%29=120
L%2B2W%2B21=60
2.L%2B2W=39
Subtract eq. 1 from eq. 2,
L%2B2W-L-W=39-31
highlight_green%28+W=8%29
Then from eq. 1,
L%2B8=31
highlight_green%28+L=23%29