Gardening: A community is building a square garden with a walkway around the perimeter with the design shown at the right. Find the side length of the inner square that would make the area of the inner square equal to 75% of the total area of the garden. Round to the nearest tenth of a foot.

1. What is an expression for the area of the inner square?

2. What is the area of the entire garden?

3. What is 75% of the area of the entire garden?

4. Write an equation for the area of the inner square using the expressions from Steps 1 and 3.

5. Solve the quadratic equation. Round to the nearest tenth of a foot.

6. Which solution to the quadratic equation best describes the side length of the inner square? Explain.