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the length and width of a rectangle are whole numbers of centimeters. neither is divide by 6.the area of the rectangle is 36 square centimeters.What is the perimeter of the rectangle

User Lesce
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1 Answer

4 votes

Note that

  1. 36=1·36;
  2. 36=2·18;
  3. 36=3·12;
  4. 36=4·9;
  5. 36=6·6.

If neither (length and width) is divide by 6, then cases 1, 2, 3 and 5 are extra, because

  1. 36:6=6 (is divide by 6);
  2. 18:6=3 (is divide by 6);
  3. 12:6=2 (is divide by 6);
  4. 6:6=1 (is divide by 6).

The only possible dimensions are: width - 4 cm and length - 9 cm.

Then the perimeter is


P=4+9+4+9=26 cm.

Answer: 26 cm.

User Berkeleybross
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