Question

Q1.the length and width of the field are in the ratio 2:3 fencing =45m

Answer 1

Answer:

length = 3 X 4.5 = 13.5m

breath = 2 X 4.5 = 9 m

Explanation:

let ratio be in x

according the question

fence = perimeter

so,  2( L +B )

   ( 2x+3x) X2 = 45  

10x = 45

x = 4.5

Answer 2

Given:

• Length = 2x
• Breadth = 3x
• Length of fencing = Perimeter = 45 m

To find:

• Length, Breadth = ?

Solution:

Field in the given question is in the form of a rectangle.

Perimeter of rectangle = 2 (l + b)

⇒ Perimeter of rectangle = 2 (2x + 3x)

⇒ 45 = 2 (5x)

⇒ 45 = 10x

⇒ x = 45 ÷ 10

⇒ x = 4.5

For finding length and breadth,

• Length = 2x = 2 (4.5) = 9 m
• Breadth = 3x = 3 (4.5) = 13.5 m

∴ Length = 9 m

Breadth = 13.5 m