FIND THE PERIMETER OF EACH PARALLELOGRAM

The formula for the Perimeter of a parallelogram,

Perimeter = 2(a + b)

(where a and b are the sides)

Find the perimeter of each parallelogram.

Problem 1 :

Solution :

Given, side (a) = 7 in and side (b) = 5 in

Perimeter of a parallelogram P = 2 (a + b)

P = 2 (7 + 5)

P = 2 (12)

P = 24 in

So, the perimeter of a parallelogram is 24 in.

Problem 2 :

Solution :

Given, side (a) = 8 yd and side (b) = 9 yd

Perimeter of a parallelogram P = 2 (a + b)

P = 2 (8 + 9)

P = 2 (17)

P = 34 yd

So, the perimeter of a parallelogram is 34 yd.

Problem 3 :

Solution :

Given, side (a) = 10 ft and side (b) = 11 ft

Perimeter of a parallelogram P = 2 (a + b)

P = 2 (10 + 11)

P = 2 (21)

P = 42 ft

So, the perimeter of a parallelogram is 42 ft.

Problem 4 :

Solution :

Given, side (a) = 12 yd and side (b) = 14 yd

Perimeter of a parallelogram P = 2 (a + b)

P = 2 (12 + 14)

P = 2 (26)

P = 52 yd

So, the perimeter of a parallelogram is 52 yd.

Problem 5 :

Solution :

Given, side (a) = 2 ft and side (b) = 4 ft

Perimeter of a parallelogram P = 2 (a + b)

P = 2(2 + 4)

P = 2 (6)

P = 12 ft

So, the perimeter of a parallelogram is 12 ft.

Problem 6 :

Solution:

Given, side (a) = 18 in and side (b) = 6 in

Perimeter of a parallelogram P = 2 (a + b)

P = 2 (18 + 6)

P = 2 (24)

P = 48 in

So, the perimeter of a parallelogram is 48 in.

Problem 7 :

The adjacent sides of a parallelogram measure 13 feet and 1 foot. Determine the perimeter of the parallelogram.

Solution:

Let adjacent side (a) = 13 ft and side (b) = 1 ft

Perimeter of a parallelogram P = 2 (a + b)

P = 2 (13 + 1)

P = 2 (14)

P = 28 ft

So, the perimeter of a parallelogram is 28 ft.

Problem 8 :

What is the perimeter of the parallelogram whose adjacent sides measure 15 yards and 17 yards?

Solution :

Let adjacent side (a) = 15 yd and side (b) = 17 yd

Perimeter of a parallelogram P = 2 (a + b)

P = 2 (15 + 17)

P = 2 (32)

P = 64 yd

So, the perimeter of a parallelogram is 64 yd.