The dimensions of all possible rectangles are:
1 cm , 64 cm
2 cm , 32 cm
4 cm , 16 cm
Step-by-step explanation:
The given is:
1. A non-square rectangle has the same area as a square
2. The length of the side of the square is 8 cm
3. Use the whole numbers
We need to find the dimensions of all possible rectangles
Area of any square is s², where s is the length of its side
∵ The length of the side of the square = 8 cm
∵ Area of the square = s²
∴ Area of the square = (8)² = 64 cm²
Area of any rectangle is length × width
∵ Area of the rectangle = l × w, where l , w are its dimensions
∵ Area of the rectangle = area of the square
∵ Area of the square = 64 cm²
∴ Area of the rectangle = 64 cm²
∴ l × w = 64 cm²
Now we need to find all possible values of l and w
∵ 64 = 1 × 64
∴ The dimensions of the rectangle could be 1 cm , 64 cm
∵ 64 = 2 × 32
∴ The dimensions of the rectangle could be 2 cm , 32 cm
∵ 64 = 4 × 16
∴ The dimensions of the rectangle could be 4 cm , 16 cm
V.I.Note:
We can not use 64 = 8 × 8 because the rectangle is non-square
so its dimensions can not be equal
The dimensions of all possible rectangles are:
1 cm , 64 cm
2 cm , 32 cm
4 cm , 16 cm
Learn more:
You can learn more about the area in brainly.com/question/12919591
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