For this activity, we will be referencing formulas from Appendix C: Geometric Formulas (Links to an external site.). Imagine a dog has a fenced, square pen with 8 foot sides. What is the area of the dog pen? The area of the dog pen is 64 ft2 Imagine you are moving, and your new house has space in the side yard for a new pen, but it has to be 4 feet wide. You want the new pen to be at least the same area of the old, square pen. Set up an equation to show the dimensions of the new pen being equal to the area of the pen from the previous step. Use a I (lowercase L) for the variable. Use the Appendix C: Geometric Formulas (Links to an external site.) if needed. Solve the equation for the length using the division property of equality. What is the minimum length of the new pen? Imagine you are visiting your parents and want to get a tie out for your dog since they have no fence. The tie out will allow your dog to access a circle of space. The tie out represents the radius of the circle. Set up an equation to show the radius of the circle (length of tie out) being equal to the area of both previous pens. Use the Appendix C: Geometric Formulas (Links to an external site.) if needed. Solve for the radius of the circle. First use the division property of equality with pi. Then, take the square root. What is the minimum length of the radius of the circle