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

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

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Ali
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91 Answers
Solution:
1. The formula for the area of a rectangle is given by:
- Area = base \times height

2. Substitute the given base and height into the formula:
- Area = 12 ft \times (2x - 3) ft
- Area = 12(2x - 3)

3. Set up the inequality for the area greater than 60 square feet:
- 12(2x - 3) > 60

4. Distribute the 12 across the terms in the parenthesis:
- 24x - 36 > 60

5. Add 36 to both sides of the inequality:
- 24x > 96

6. Divide each side by 24 to solve for x:
- x > 4

Thus, the possible values of x are greater than 4.

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