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If the length and width of a rectangle are 2x+5 and 3x-7, respectively (x≥3), then what is the least possible area of the rectangle?
  • a)
    18
  • b)
    20
  • c)
    22
  • d)
    24
  • e)
    It can not be determined based on the given information.
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
If the length and width of a rectangle are 2x+5 and 3x-7, respectively...

To find the least possible area of the rectangle, we need to consider the minimum values for the length and width.
Given that x ≥ 3, we can determine the minimum values for the expressions 2x+5 and 3x-7.
For the length (2x+5), when x is minimum (x = 3), the length is (2 * 3) + 5 = 11.
For the width (3x-7), when x is minimum (x = 3), the width is (3 * 3) - 7 = 2.
The area of a rectangle is calculated by multiplying the length and width, so the minimum area is 11 * 2 = 22.
Therefore, the correct answer is C: 22.
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If the length and width of a rectangle are 2x+5 and 3x-7, respectively (x≥3), then what is the least possible area of the rectangle?a)18b)20c)22d)24e)It can not be determined based on the given information.Correct answer is option 'C'. Can you explain this answer?
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