Answer:
Area of each piece = 104 [tex]cm^{2}[/tex]
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:
[tex]Area = Length \times Width[/tex]
Area = 26 [tex]\times[/tex] 36 [tex]cm^2[/tex]
Area of each smaller rectangle = [tex]\frac{26\times 36}{9} = 104\ cm^2[/tex]
To find the possible dimensions, we need to find the factors of 104.
104 = 26 [tex]\times[/tex] 4
104 = 13 [tex]\times[/tex] 8
Therefore, the Possible dimensions are 26 cm by 4 cm
and
13 cm by 8 cm.
