Given:
Perimeter of a parallelogram = 64 cm
Length = 3 times larger than the width
To find:
The length of the parallelogram.
Solution:
We know that, the perimeter of the parallelogram is:
[tex]P=2(l+w)[/tex]
Where, l is length and w is width of the parallelogram.
We have, l = 3w and P=64.
So,
[tex]64=2(3w+w)[/tex]
[tex]64=2(4w)[/tex]
[tex]64=8w[/tex]
Divide both sides by 8.
[tex]8=w[/tex]
Now,
[tex]l=3w[/tex]
[tex]l=3(8)[/tex]
[tex]l=24[/tex]
Therefore, the length of the parallelogram is 24 cm.
