Question

The length and the breadth of a rectangular field are in the ratio 5:3 . If the perimeter of the field is 432 m, then its length and breadth will be *​

Answer 1

Answer:

$let \: the \: length \: be \: 5x \\ let \: the \: breadth \: be \: 3x \\ perimeter = 432m \\ 2(l + b) = 432 \\ 2(5x + 3x) = 432 \\ 2(8x) = 432 \\ 16x = 432 \\ x = \frac{432}{16} \\ x = 27 \\ length = 5x = 5 \times 27 = 135m \\ breadth = 3x = 3 \times 27 = 81m$

Answer 2

Answer:

LENGTH = 135 m

LENGTH = 135 mBREADTH = 81 m

Step-by-step explanation:

Perimeter = 2 × (l + b) = 432 m

Perimeter = 2 (l + b) = 432

Ratio is 5 : 3

So, 2 ( 5x + 3x ) = 432

= 2 ( 8x ) = 432

= 16x = 432

= 16x/16 = 432/16

x = 27

So, length = 27×5

= 135 m

breadth = 27×3

= 81 m

For proof

• 2 × ( 135 + 81 )
• 2 × 216
• 432