SOLUTION: A farmer has just tilled her 72-yard by 65-yard field. To survey her field, the farmer begins in one corner and walks the length of the field. She then turns and walks the width be

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: A farmer has just tilled her 72-yard by 65-yard field. To survey her field, the farmer begins in one corner and walks the length of the field. She then turns and walks the width be      Log On

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Question 1157056: A farmer has just tilled her 72-yard by 65-yard field. To survey her field, the farmer begins in one corner and walks the length of the field. She then turns and walks the width before crossing diagonally across the field to the original corner. How far does the farmer walk?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Use Pythagorean theorem
+a%5E2+%2B+b%5E2+=+c%5E2+
+a+=+72+ yds
+b+=+65+ yds
+72%5E2+%2B+65%5E2+=+c%5E2+
+5184+%2B+4225+=+c%5E2+
+c%5E2+=+9409+
+c+=+97+ yds
+a+%2B+b+%2B+c+=+72+%2B+65+%2B+97+=+234+
The farmer walks 234 yds