**Add polynomials to find perimeter :**

To find perimeter of the given shape, we need to find find the sum of all sides. Let us discuss the concept in detail in the following examples.

**Example 1 :**

Find the perimeter of the triangle given below

**Solution :**

To find the perimeter of the triangle we need add length of all sides.

Perimeter of triangle ABC = AB + BC + CA

AB = 12b - 8 BC = 12b - 8 CA = 9b + 8

= 12b - 8 + 12b - 8 + 9b + 8

= 12b + 12b + 8 - 8 - 8

= 24b - 8

**Example 2 :**

Find the perimeter of the rectangle given below

**Solution :**

To find the perimeter of the rectangle, we need add length of all sides.

Perimeter of rectangle ABCD = AB + BD + DC + CA

AB = CD = 4 x + 8, BD = AC = 2 x + 3

= 4x + 8 + 2x + 3 + 4x + 8 + 2x + 3

= 4x + 2x + 4x + 2x + 8 + 3 + 8 + 3

= 12x + 22

**Example 3 :**

Find the perimeter of the triangle given below

**Solution :**

To find the perimeter of the triangle, we need add length of all sides.

Perimeter of triangle ABC = AC + BC + BA

AC = 6c + 4, BC = 8c + 1, BA = 10c + 3

= 6c + 4 + 8c + 1 + 10c + 3

= 6c + 8c + 10c + 4 + 1 + 3

= 24c + 8

**Example 4 :**

Find the perimeter of the triangle given below

**Solution :**

To find the perimeter of the triangle, we need add length of all sides.

Perimeter of triangle ABC = AC + BC + CA

AB = x + 14, BC = 2x + 36, CA = x + 14

= x + 14 + 2x + 36 + x + 14

= x + 2x + x + 14 + 36 + 14

= 4x + 64

**Example 5 :**

Find the perimeter of the rectangle given below

**Solution :**

To find the perimeter of the rectangle, we need add length of all sides.

Perimeter of triangle ABCD = AB + BD + DC + CA

AB = 3x + 16, BD = x + 2, DC = 3x + 16, CA = x + 2

= x + 14 + 2x + 36 + x + 14

= x + 2x + x + 14 + 36 + 14

= 4x + 64

After having gone through the stuff given above, we hope that the students would have understood "Add polynomials to find perimeter".

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