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09.12.2020 •
Mathematics
The length of a rectangle board is 10 centimeters longer than its width. The width of the board is 26 centimeters. The board is cut into 9 equal pieces. What is the area of each piece? What are the possible dimensions of each piece? (Take the dimensions to be whole numbers.)
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Ответ:
Area of each piece = 104
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 = 26 36
Area of each smaller rectangle =
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.
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