Solution:
1. Determine the dimensions:
- Base of the rectangle: 12 feet
- Height of the rectangle: 2x - 3 feet
2. Compute the area of the rectangle:
- Area, A = 12 \times (2x - 3) square feet
3. Set up the inequality for the area being greater than 60 square feet:
- 12(2x - 3) > 60
4. Simplify the inequality:
- 24x - 36 > 60
5. Solve for x:
- Add 36 to both sides: 24x > 96
- Divide both sides by 24: x > 4
6. Therefore, the solution is:
- The possible values of x such that the area of the rectangle is greater than 60 square feet are x > 4.