Question

The length of a rectangular field is 8meters less than twice it's breadth. If the perimeter of the rectangular field is 56 meters, find the length and breadth of a field.​

Answer 1

Answer:

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Step-by-step explanation:

Let length and breadth the field are l and b respectively. Then,

l=2b−8⇒2b=8+l⟶(1)

The perimeter of the rectangular field =56 m

⇒2(l+b)=56m⇒2l+2b=56m

from (1), we get

2l+8+l=56⇒3l=48⇒l=16m

∴ Length of rectangular field =16m

Breadth of rectangular field  =  

2

16+8

​  

=12m

Answer 2

Answer:

Length=16 and Breadth=12

Step-by-step explanation:

Let the breadth be x.Then, length will be 2x-8

Now,

Perimeter=56

2(l+b)=56

(2x-8+x)=56/2

3x-8=28

3x=28+8

3x=36

x=36/3

x=12

Breadth=x=12

Length=2x-8=2*12-8

=24-8=16