A rectangle with side lengths and is divided into squares as shown. What is the value of ?

Source: NCTM Mathematics Teacher, December 2005

**SOLUTION**

**
**Sum of the areas of the squares equals the area of the rectangle

(extraneous solution) or

**Answer**: units

**Alternative solution**

Sum of a side length of the large square and a side length of the medium square equals the length of the rectangle

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