Find the area of a square with sides of length \( \frac{1}{3} \) yard. B. \( \frac{1}{3} \) sqyd sq yd C. \( \frac{1}{9} \) sqyd \( \frac{2}{9} \) sq yd D. D.

To find the area of a square, you simply square the length of one of its sides. In this case, the side length is \( \frac{1}{3} \) yard. So, the area \( A \) is calculated as follows: \[ A = \left(\frac{1}{3}\right)^2 = \frac{1}{9} \text{ sq yd} \] For your options, the correct answer would thus be \( \frac{1}{9} \) sq yd, which corresponds to option C. Now let's talk about why squaring a fraction works so neatly! When you square a fraction, you square both the numerator and denominator. So in this case, \( \frac{1}{3} \cdot \frac{1}{3} = \frac{1^2}{3^2} = \frac{1}{9} \) easily gives us those delightful, tiny squares of yardage. Isn’t math just a fun game of numbers? Also, remember that the area of a square is specifically useful in real-life applications! For instance, if you were laying out a garden or planning a square section of your yard, knowing the area helps you figure out how much soil or grass seed you'll need. And using the area formula can save you from running short on supplies. Who knew geometry could help you become a gardening guru too?