Question

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

Answer 1

Answer:the ratio of length to breadth is 3:4

let the length be 3x

breadth be 4x

area = 4x x 3x

6912 = 12x^2

x^2 = 576

x=24

length= 72

breadth =96

actually length will be greater than breadth

so the ratio must be 4:3 then alter the above length and breadth values

Step-by-step explanation:

Answer 2

Answer:

Given ⤵

• The length and breadth of rectangle are in ratio 3:4
• Area of rectangle = 6912 cm²

To Find ⤵

• The dimensions of the rectangle , i.e. the length and breadth of rectangle.

Solution ⤵

• Let the length of rectangle be 3x and let the breadth of rectangle be 4x.

• Area of rectangle = length × breadth

Now , According to question :--

6912 = 4x × 3x

6912 = 12x²

x² = 6912/12

x² = 576

$\boxed{ x = 24 }$

So ,

• The length => 3x = 3× 24 = 72 cm
• The breadth => 4x = 4× 24 = 96cm

Note*

The value of breadth of rectangle can never be greater than the length of rectangle , So the length must be 96 cm and breadth must be 72 cm , and hence , the ratio of the given rectangle must be 4:3