Question

The length and breadth of a rectangular field in the ratio 3:4.Its area is 6912 square. Cm. Find its dimensions

Answer 1

Answer:

Length of the field is 96 cm and breadth of the field is 72 cm.

Step-by-step explanation:

Given,

  Ratio of length and breadth of the field = 3 : 4

Smaller( = 3 ) one can't be the length, as length can't be smaller than the other side( = breadth ).

Therefore,

Let the length of the field be 4 a

      the breadth of the field be 3 a

Formula : Area of the rectangle = length x breadth

According to the question, area of the field is 6912 cm^2.

So,

= >  4a x 3a = 6912 cm^2

= >  12 a^2 = 6912 cm^2

= >  a^2 = 6912 / 12 cm^2

= >  a^2 = 576 cm^2

= >  a^2 = 24 cm

Then,

Length of the field = 4a = 4 x 24 cm = 96 cm

Breadth of the field = 3a = 3 x 24 cm = 72 cm

Answer 2

Answer:

96cm, 72 cm

Step-by-step explanation:

let length = 3x breadth = 4x

l×b=6912

3x × 4x = 6912

12x^2=6912

x^2 = 6912 / 12 = 576

x=√576

x = 2×2×2×3

= 24

L = 3×24= 72cm

B = 4×24= 96 cm

hope it will help you ✌️