The breadth of a rectangle is equal to the radius of a circle, the rat

1.	The breadth of a rectangle is equal to the radius of a circle, the ratio of areas of circle and rectangle is 33 ∶ 16. Then the length of rectangle is what percentage greater the breadth of the rectangle?1. 105.8%2. 152.4%3. 52.4%4. 50.8%5. 48.5%
Answer» Correct Answer - Option 3 : 52.4% Radius of circle(r) = Breadth of rectangle(b) The ratio of areas of circle and rectangle is 33 ∶ 16 ⇒ (π × r²)/(l × b) = 33/16 l → length of rectangle ⇒ (π × b²)/lb = 33/16 ⇒ 22b/7l = 33/16 ⇒ l/b = 32/21 ∴ Let l = 32x and b = 21x ∴ Required percentage = {(32x – 21x)/21x} × 100 = 52.38% ≈ 52.4% ∴ The length of rectangle is 52.4% greater the breadth of the rectangle

The breadth of a rectangle is equal to the radius of a circle, the ratio of areas of circle and rectangle is 33 ∶ 16. Then the length of rectangle is what percentage greater the breadth of the rectangle?1. 105.8%2. 152.4%3. 52.4%4. 50.8%5. 48.5%

Answer» Correct Answer - Option 3 : 52.4%

Radius of circle(r) = Breadth of rectangle(b)

The ratio of areas of circle and rectangle is 33 ∶ 16

⇒ (π × r²)/(l × b) = 33/16

l → length of rectangle

⇒ (π × b²)/lb = 33/16

⇒ 22b/7l = 33/16

⇒ l/b = 32/21

∴ Let l = 32x and b = 21x

∴ Required percentage = {(32x – 21x)/21x} × 100 = 52.38% ≈ 52.4%

∴ The length of rectangle is 52.4% greater the breadth of the rectangle

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The breadth of a rectangle is equal to the radius of a circle, the ratio of areas of circle and rectangle is 33 ∶ 16. Then the length of rectangle is what percentage greater the breadth of the rectangle?1. 105.8%2. 152.4%3. 52.4%4. 50.8%5. 48.5%

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