Answer:
Length of one piece = 6 cm
Length of second piece = 16 cm
Step-by-step explanation:
Total Length of board = 22 cm
The board is divided into 2 pieces.
Let length of one piece = l
Length of second piece = 2l + 4
We need to find length of both pieces.
We can write the equation:
<em>Total length = Length of one piece + Length od second piece</em>
Putting values and finding length
![22 = l+(2l+4)\\22=l+2l+4\\22=3l+4\\3l=22-4\\3l=18\\l=\frac{18}{3}\\l=6](https://tex.z-dn.net/?f=22%20%3D%20l%2B%282l%2B4%29%5C%5C22%3Dl%2B2l%2B4%5C%5C22%3D3l%2B4%5C%5C3l%3D22-4%5C%5C3l%3D18%5C%5Cl%3D%5Cfrac%7B18%7D%7B3%7D%5C%5Cl%3D6)
So, we get l= 6
Length of one piece = l =6 cm
Length of second piece = 2l + 4 = 2(6)+4 = 12+4 = 16 cm
Therefore,
Length of one piece = 6 cm
Length of second piece = 16 cm