Look at this parallelogram. Find the value of c.

c

17 m

Perimeter=66 meters

The value of c is 16.

Step-by-step explanation:

The perimeter of the parallelogram is given by,

Perimeter = 2 (base + height)

The one of the dimension is given as 17 m.

Let us assume it has base of the parallelogram.

Therefore,

The base of the parallelogram = 17 m. The perimeter of the parallelogram = 66 m.

Let, c be the height of the parallelogram.

To find the value of c:

Substitute the given data in the Perimeter of the parallelogram formula,

Put, height = c, base = 17 and perimeter = 66

⇒ Perimeter = 2 (base + c)

⇒ 66 = 2 (17 + c)

Multiply 2 with each term inside the bracket,

⇒ 66 = 34 + 2c

⇒ 66 - 34 = 2c

⇒ 32 = 2c

Divide by 2 on both sides,

⇒ c = 32 : 2

⇒ c = 16

Therefore, the value of c is 16.