Answer :
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.