Question

b) The length of a rectangular field is two times of its breadth. If the perimeter of the field is 150 m, find its length and breadth.​

Answer 1

Answer:

Length of rectangular field will be = 2a = 2(25) = 50m.

Answer 2

Answer :

• Length of a rectangular field is 50m
• Breadth of a rectangular field is 25m

Given :

• The length of a rectangular field is two times of its breadth
• Perimeter of the field is 150m

To find :

• Length and breadth

Solution :

Given,

• The length of a rectangular field is two times of its breadth so,

• Let the length of a rectangular be 2x
• Let the breadth be x

and also Given,

• Perimeter of a rectangular field is 150m

We know that

• Perimeter of a rectangular field = 2(l + b)

Where,

• l is length of a rectangular field
• b is breadth of a rectangular field

→ Perimeter of a rectangular field = 2(l + b)

→ 150 = 2(2x + x)

→ 150 = 2(3x)

→ 150 = 6x

→ 6x = 150

→ x = 150/6

→ x = 25m

Finding the length and breadth of a rectangular field :

→ Length = 2x

→ Length = 2(25)

→ Length = 50m

Length of a rectangular field is 50m

→ Breadth = x

→ Breadth = 25m

Breadth of a rectangular field is 25m

Verification :

→ Perimeter of a rectangular field = 2(l + b)

→ 150 = 2(50 + 25)

→ 150 = 2(75)

→ 150 = 150

Hence , Verified