SOLUTION: A farmer has 2 rectangular fields.The larger field has twice the length and 4 times the width of the smaller field.If the smaller field has area K , then the area of the larger fie

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Question 147257: A farmer has 2 rectangular fields.The larger field has twice the length and 4 times the width of the smaller field.If the smaller field has area K , then the area of the larger field is greater than the area of the smaller field by what amount?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let l= length of the smaller field
Let w= width of the smaller field
Area of smaller field = l%2Aw
It is given that l%2Aw+=+K
Also given is
length of larger field = 2l
width of larger field = 4w
Area of larger field = 2l%2A4w
2l%2A4w+=+8%2Al%2Aw
Since i%2Aw+=+K
8%2Al%2Aw+=+8K
The difference between the areas of the two fields is
8K+-+k+=+7K answer