Respuesta :
Let w be the width of the rectangular board
Let l be the length of the rectangular board.
Given that w = 26cm
∴ l = 26 + 10 = 36cm [∵ length is 10cm longer than width]
Now the board can be cut into 9 equal pieces, each of length 4cm along the length of the board [∵ 9 × 4 = 36]
The width of each of the 9 pieces will remain 26cm.
Answer A : area of each piece is
A = l × w = 4 × 26 =
Answer B : dimension of each piece is
l = 4 cm
w = 26 cm
Answer: Area of each piece = 104 cm² and the possible dimensions of each piece will be
1) Length=4 cm and Breadth = 26 cm
2) Length=36 cm and Breadth = 2.8 cm.
Step-by-step explanation:
Since we have given that
Width of rectangle = 26 cm
Since length is 10 cm longer than its width ,
So, Length of rectangle = 26+10=36 cm
Area of rectangle is given by
[tex]Area=Length\times breadth\\\\Area=36\times 26\\\\Area=936\ cm^2[/tex]
Now, we have given that the board is cut into 9 equal pieces ,
So, Area of each piece is given by
[tex]Area\ of\ each\ piece=\frac{\text{Area of board}}{9}\\\\Area\ of\ each\ piece=\frac{936}{9}\\\\Area\ of\ each\ piece=104\ cm^2[/tex]
Now, the possible dimensions of each piece will be
If we cut along the length then
[tex]Length=\frac{36}{9}=4\\\\Width=26[/tex]
If we cut along the breadth then
[tex]Breadth=\frac{26}{9}=2.8\ cm\\\\Length=36\ cm[/tex]
