Answer:
Area of each piece = 104 
Possible dimensions are 26 cm by 4 cm, 13 cm by 8 cm.
Step-by-step explanation:
Given that:
Dimensions of the rectangular board as:
Length of the board is 10 cm longer than its width.
Width of the board = 26 cm
Length of the board = 26 + 10 = 36 cm
The rectangular board is divided into 9 equal pieces.
To find:
Area of each piece and
the possible dimensions of each piece = ?
Solution:
First of all, let us calculate the area of bigger rectangular board.
Area of a rectangle is given by the following formula:

Area = 26
36 
Area of each smaller rectangle = 
To find the possible dimensions, we need to find the factors of 104.
104 = 26
4
104 = 13
8
Therefore, the Possible dimensions are 26 cm by 4 cm
and
13 cm by 8 cm.