Question

Look at this parallelogram. Find the value of c. c 17 m Perimeter=66 meters

Answer 1

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.