Question

Aboard 22 cm long is cut into two pieces. One piece is 4 cm longer than twice the length of the other piece. Find the length of each piece

Answer 1

Length of one piece = 6 cm

Length of second piece = 16 cm

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:

Total length = Length of one piece + Length od second piece

Putting values and finding length

`22 = l+(2l+4)\\22=l+2l+4\\22=3l+4\\3l=22-4\\3l=18\\l=(18)/(3)\\l=6`

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