SOLUTION: The perimeter of a rectangle is 92 if the widths were doubled and the lengths increased by 12 the new perimeter would be 140. What are the length and width of the rectangle?

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Question 318594: The perimeter of a rectangle is 92 if the widths were doubled and the lengths increased by 12 the new perimeter would be 140. What are the length and width of the rectangle?
Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
p=92
p=2(L+W)
92=2%28L%2BW%29 = 46=%28L%2BW%29
140=2%28%28L%2B12%29%2B%282W%29%29 = 70=%28%28L%2B12%29%2B%282W%29%29 = 58=L%2B2W


58=L%2B2Wi will use the subtraction property of elimination method
46=L%2BW
12=0%2BW
12=W


46=L%2BW
46=L%2B12
34=L


Checking
140=2%28%28%2834%29%2B12%29%2B%282%2812%29%29%29
140=2%28%2846%29%2B%2824%29%29
140=2%2870%29
140=140
correct