Multiple choice

Area of the circle of diameter 28 cm is equal to the perimeter of the rectangle in magnitude whose length is 8 cm more than its breadth. Find the area of the rectangle.

  1. $27300 cm2$
  2. $234500 cm2$
  3. $23700 cm2$
  4. $21500 cm2$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Circle radius = 28/2 = 14 cm. Area = π × 14^2 = 196π = 616 cm² (using π = 22/7). This equals perimeter: 2(l + b) = 616. Given l = b + 8: 2(b + 8 + b) = 616, so 4b + 16 = 616, 4b = 600, b = 150. Length = 158. Area = l × b = 158 × 150 = 23700 cm². The calculation confirms option C.

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