For a certain rectangular region, the ratio of its length to its width is 35 to 10. If the width of the rectangular region increases by 7 units, how must the length change to maintain this ratio?

Correct answer: B. It must decrease by 24.5 units.

  • A. It must increase by 24.5 units.
  • B. It must decrease by 24.5 units.
  • C. It must decrease by 7 units.
  • D. It must increase by 7 units.

Explanation

The correct answer is Option B. The length must decrease by 24.5 units when the width of the rectangular region increases by 7 units to maintain the ratio of 35 to 10. This can be calculated by setting up a proportion and solving for the change in length. The other options are incorrect because they do not account for the necessary change in length to maintain the given ratio.

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