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The length of a rectangle is 3/5th of the side of a square. The radius of a circle is equal to side of the square. The circumference of the circle is 132 cm. What is the area of the rectangle, if the breadth of the rectangle is 15 cm?
  • a)
    112 cm²
  • b)
    149 cm²
  • c)
    189 cm²
  • d)
    Cannot be determined
  • e)
    None of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The length of a rectangle is 3/5th of the side of a square. The radius...
Circumference of the circle = 132
2πR = 132; R = 21 cm
Side of square = 21 cm
Length of the rectangle = 3/5 * 21 = 63/5
Area of the rectangle = 63/5 * 15 = 189 cm²
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Most Upvoted Answer
The length of a rectangle is 3/5th of the side of a square. The radius...
Circumference of the circle = 132
2πR = 132; R = 21 cm
Side of square = 21 cm
Length of the rectangle = 3/5 * 21 = 63/5
Area of the rectangle = 63/5 * 15 = 189 cm²
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Community Answer
The length of a rectangle is 3/5th of the side of a square. The radius...
B)225 cm
c)336 cm
d)450 cm

Let the side of the square be x. Then the length of the rectangle is (3/5)x and the breadth is 15 cm. We know that the radius of the circle is x.

We are given that the circumference of the circle is 132 cm. Therefore,

2πr = 132
2πx = 132
x = 21 cm

So, the length of the rectangle is (3/5)x = (3/5)21 = 12.6 cm

The area of the rectangle is length × breadth = 12.6 × 15 = 189 cm

Therefore, the correct option is not given. The area of the rectangle is 189 cm.
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The length of a rectangle is 3/5th of the side of a square. The radius of a circle is equal to side of the square. The circumference of the circle is 132 cm. What is the area of the rectangle, if the breadth of the rectangle is 15 cm?a)112 cm²b)149 cm²c)189 cm²d)Cannot be determinede)None of theseCorrect answer is option 'C'. Can you explain this answer?
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