The length of a rectangular board is 10 cm longer than its width. The width of the board is 26 cm. the board is cut into 9 equal pieces. What is the area of each piece? What are the possible dimensions of each piece?
width: 26
length: 36
26*36/9 = 104 cm^2 per piece
Now think of the factors of 104.
Make sure they are also factors of 26 and 36.
724
To find the area of each piece, we need to determine the dimensions of the rectangular board and then divide the total area by the number of pieces.
Let's start by finding the length of the rectangular board. We know that the length is 10 cm longer than the width, which means the length is 26 cm + 10 cm = 36 cm.
To find the area of the rectangular board, we multiply the length by the width: Area = length × width = 36 cm × 26 cm = 936 cm².
To find the area of each piece, we divide the total area of the rectangular board by the number of pieces: Area per piece = 936 cm² / 9 = 104 cm².
Therefore, the area of each piece is 104 cm².
Now, let's determine the possible dimensions of each piece.
Since the board is divided into 9 equal pieces, we need to determine the dimensions of each piece in such a way that the total area of all 9 pieces equals the area of the rectangular board (936 cm²).
Let's consider one possible set of dimensions for each piece:
Width of each piece = Width of the board / Number of pieces = 26 cm / 3 = 8.67 cm.
Length of each piece = Length of the board / Number of pieces = 36 cm / 3 = 12 cm.
Therefore, one possible set of dimensions for each piece is a width of 8.67 cm and a length of 12 cm.
It is important to note that there can be other possible sets of dimensions for each piece, depending on how the board is divided.