Multiple choice

The area of a circle is equal to the area of a rectangle whose perimeter and breadth are 42 m and 8.5 m respectively. What is the area of the circle?

  1. $116.25 m2$
  2. $104.25 m2$
  3. $146.25 m2$
  4. $128.25 m2$
  5. $106.25 m2$
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Perimeter = 2(length + breadth) = 42m. Given breadth = 8.5m, we find length: 2(l + 8.5) = 42, so l + 8.5 = 21, giving l = 12.5m. Area of rectangle = length × breadth = 12.5 × 8.5 = 106.25 m². Since circle area equals rectangle area, answer is 106.25 m².

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