Question

Find the perimeter of the given figure ABCDEF.​

Answer 1

Answer:

10x+4y.

Step-by-step explanation:

Perimeter= Sum of all sides

               =4(x+2y) + 2(3x-2y)

               =4x+8y+6x-4y

               =10x+4y.

Hope it is helpful for you....

Answer 2

Given: A hexagon ABCDEF with sides:

          AB = $3x-2y$, BC = $x + 2y$, CD = $x + 2y$, DE = $3x-2y$, EF = $x + 2y$ and FA = $x + 2y$

To find:  Perimeter of the given hexagon

Solution:

We know that perimeter is the sum of all sides.

∵ Perimeter of given hexagon = $AB + BC+ CD + DE + EF + FA$

⇒ $(3x-2y) + (x + 2y) + (x + 2y) + (3x-2y) + (x + 2y) + (x + 2y)$

⇒ $2(3x - 2y) + 4(x+2y)$

⇒ $6x - 4y + 4x + 8y$

⇒ $10x + 4y$

Hence, the perimeter of the given hexagon is $10x+4y$.