**A. 1 : 96**

B. 1 : 48

C. 1 : 84

D. 1 : 68

Let the length and the breadth of the rectangle be 4x cm and 3x respectively.

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(4x)(3x) = 6912

12×2 = 6912

x2 = 576 = 4 * 144 = 22 * 122 (x > 0)

=> x = 2 * 12 = 24

Ratio of the breadth and the areas = 3x : 12×2 = 1 : 4x = **1: 96.**

### Related Mcqs:

- The length of a rectangle is twice its breadth, if length is decreased by 5 cm and the breadth is increased by 5 cm. The length of the rectangle is_________?
A. 20 cm

B. 30 cm

**C. 40 cm**

D. 50 cm - The length of a rectangle is two – fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?
**A. 140**

B. 156

C. 175

D. 214 - The area of a rectangle is thrice that of a square. The length of the rectangle is 40 cm and the breadth of the rectangle is (3/2) times of the square. The side of the square in cm is__________?
A. 15

**B. 20**

C. 30

D. 60 - The area of a square is 4096 sq cm. Find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square.
A. 18 : 5

B. 7 : 16

C. 5 : 14

**D. None of these** - The area of the square formed on the diagonal of a rectangle as its side is 108 1/3 % more than the area of the rectangle. If the perimeter of the rectangle is 28 units, find the difference between the sides of the rectangle?
A. 8

B. 12

C. 6

**D. 2** - An order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth. What be the cost of a carpet whose length and breadth are 40% more and 25% more respectively than the first carpet. Given that the ratio of carpet is Rs. 45 per sq m?
A. Rs. 3642.40

B. Rs. 3868.80

C. Rs. 4216.20

**D. Rs. 4082.40** - An order was placed for the supply of a carper whose length and breadth were in the ratio of 3 : 2. Subsequently, the dimensions of the carpet were altered such that its length and breadth were in the ratio 7 : 3 but were was no change in its parameter. Find the ratio of the areas of the carpets in both the cases.
A. 4 : 3

**B. 8 : 7**

C. 4 : 1

D. 6 : 5 - The perimeter of a rectangle and square are 160m each. The area of the rectangle is less than that it’s square by 100cm meters. The less than that of the square by 100 sq.meters. the length of rectangle is___________?
A. 30m

B. 40m

**C. 50m**

D. 60m - The area of a rectangle is 12 sq.metres and it’s length is 3 times that of it’s breadth. What is the perimeter of the rectangle?
A. 14m

B. 18m

C. 4m

**D. None of these** - The length of a rectangle is increased by 10 % and breadth decreased by 10 % Then the area of a new rectangle is:_________?
A. neither increased nor decreased

B. increased by 1 %

**C. decreased by 1 %**

D. decreased by 10 %

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