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The length of a rectangle is three times its width, and its perimeter is 64 cm. What is its area?
  • a)
    96 cm²
  • b)
    144 cm²
  • c)
    192 cm²
  • d)
    288 cm²
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The length of a rectangle is three times its width, and its perimeter ...
Let the width of the rectangle be x cm. The length is then 3x cm. The perimeter is given by 2(x + 3x) = 64 cm. Solving for x, we get x = 8 cm. Therefore, the length is 3(8) = 24 cm. The area is given by length × width = 24 cm × 8 cm = 192 cm².
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