The length of a angular board is 10 cm longer than its width. the width of the board is 26 centimeters. cut into 9 equal pieces. what is the area of each piece.
w=26 cm
l = 26+10 = 36 cm
area = 26*36 cm^2
so each piece has area 26*36/9 = 26*4 = 96 cm^2
To find the area of each piece, we first need to determine the dimensions of the angular board.
Given:
- The width of the board is 26 centimeters.
- The length of the board is 10 cm longer than its width.
We can calculate the length of the board by adding 10 cm to the width:
Length = Width + 10
Length = 26 cm + 10 cm
Length = 36 cm
Now, we know the dimensions of the angular board:
- Width = 26 cm
- Length = 36 cm
Next, we need to cut the board into 9 equal pieces. To calculate the area of each piece, we'll divide the total area of the board by the number of pieces:
Total Area = Length x Width
Total Area = 36 cm x 26 cm
Now, calculate the total area using multiplication:
Total Area = 936 cm^2
Finally, divide the total area by the number of pieces (9) to find the area of each piece:
Area of each piece = Total Area / Number of Pieces
Area of each piece = 936 cm^2 / 9
Now, calculate the area of each piece:
Area of each piece = 104 cm^2
Therefore, the area of each piece is 104 square centimeters.