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Directions: Select a single answer choice.
Q. The perimeter of a flat rectangular lawn is 42 meters. The width of the lawn is 75 percent of its length. What is the area of the lawn, in square meters?
  • a)
    40.5
  • b)
    96
  • c)
    108
  • d)
    192
  • e)
    432
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Directions: Select a single answer choice.Q. The perimeter of a flat...
Let s and t be the width and length, in meters, of the lawn, respectively. Then the perimeter is 2s + 2t meters, so that 2s + 2t = 42. Also, the relationship between the width and the length can be translated as s = 0.75t. Substituting 0.75t for s in the equation for the perimeter yields 42 = 2(0.75t) + 2t = 3.5t. So t = 42 / 3.5 = 12 and s = (0.75)(12) = 9.
Since st = 108, the area of the lawn is 108 square meters.
The correct answer is Choice C.
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