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The area of the rectangle is greater than 60 square feet write and solve an inequality to find the possible values of x base is 12ft height is (2x-3) ft

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Answer to a math question The area of the rectangle is greater than 60 square feet write and solve an inequality to find the possible values of x base is 12ft height is (2x-3) ft

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Miles
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114 Answers
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.

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