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Perimeter of a rectangle is x and circumference of a circle is 8 more than the perimeter of the rectangle. Ratio of radius of circle and le…

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Perimeter of a rectangle is x and circumference of a circle is 8 more than the perimeter of the rectangle. Ratio of radius of circle and length of the rectangle is 1:2 and ratio of length and breadth of rectangle is 7:3. Find the length of the rectangle ?
  • A14
  • B21
  • C28
  • D35
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0
CCommunity
Solution
Perimeter of rectangle = x
Perimeter of circle =x+8
Given that radius/length = 1/2
So radius = y and length = 2y
Now it is also given that length/breadth = 7/3
So length = 7m and breadth = 3m
Here we can say that 7m = 2y as both are length of same rectangle
Perumeter of rectangle = 2 (7m+3m) = 20m
Circumference of circle = 2πR = 2× 3.14× y = 20m +8
M = 4
Hence length if rectangle = 7×4 =28
0
CCommunity
Solution
Perimeter of rectangle = x
Perimeter of circle =x+8
Given that radius/length = 1/2
So radius = y and length = 2y
Now it is also given that length/breadth = 7/3
So length = 7m and breadth = 3m
Here we can say that 7m = 2y as both are length of same rectangle
Perumeter of rectangle = 2 (7m+3m) = 20m
Circumference of circle = 2πR = 2× 3.14× y = 20m +8
M = 4
Hence length if rectangle = 7×4 =28