Question

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

Answer 1

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.