Answer:
Area of each piece = 104 ![cm^{2}](https://tex.z-dn.net/?f=cm%5E%7B2%7D)
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 = Length \times Width](https://tex.z-dn.net/?f=Area%20%3D%20Length%20%5Ctimes%20Width)
Area = 26
36 ![cm^2](https://tex.z-dn.net/?f=cm%5E2)
Area of each smaller rectangle = ![\frac{26\times 36}{9} = 104\ cm^2](https://tex.z-dn.net/?f=%5Cfrac%7B26%5Ctimes%2036%7D%7B9%7D%20%3D%20104%5C%20cm%5E2)
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.