July 21, 2010
**Problem**:

If the area of a square region having sides of length 6 centimeters is equal to the area of a rectangular region having width 2.5 centimeters, then the length of the rectangle, in centimeters, is what?

**Solution**:

The area of the square is 6 cm * 6 cm = 36 square-cm.

The area of the rectangle is 2.5 cm * length.

If the areas are equal, then 36 = 2.5 * length.

Therefore, the length = 14.4 cm.

**Strategy**:

The areas of a square and a rectangle are equal to length * width. For a square, the length and the width are equal. Therefore, the area of a square can be written as side*side.

Also, rather than dividing 36 by 2.5 to get the length, it can be easier to multiply the numerator and denominator by a factor of 1 to eliminate the decimals. Multiplying by 2/2 yields 72 by 5. This can save you valuable time needed for other problems.

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