Question - Finding the Area of a Square with Given Side Length

Solution:

The image shows a mathematics problem asking to find the area of a square. The side length of the square is given as $$ \frac{1}{3} $$ yard. The formula to calculate the area of a square is $$ \text{Area} = \text{side} \times \text{side} $$.Using the given side length, the area can be calculated as follows:$$ \text{Area} = \left(\frac{1}{3} \text{ yd}\right) \times \left(\frac{1}{3} \text{ yd}\right) $$$$ \text{Area} = \frac{1}{3} \times \frac{1}{3} \text{ yd}^2 $$$$ \text{Area} = \frac{1}{9} \text{ yd}^2 $$So the area of the square is $$ \frac{1}{9} \text{ yd}^2 $$ in simplest form, and that should include the correct unit as instructed, which is square yards (yd²).

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