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 ?

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32 vote

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 ?

Asked on 2018-06-21 14:37:49 by Guest | Votes 32 | Views: 1487 | Tags: ibps | ibps po | ibps po 2016 | mensuration | quantitative aptitude | Add Bounty

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 ?
1). 14
2). 21
3). 28
4). 35

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2 answers

17 vote

Answered by Guest on 2019-04-10 14:26:27 | Votes 17 | #

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

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1 vote

Answered by Guest on 2019-05-10 21:06:56 | Votes 1 | #

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

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