Question
ason drew a square with a side length of 8 cm. Bella drew a rhombus with a side length of 8 cm. Jason says the perimeter of the square is smaller than the perimeter of the rhombus. Bella says they have the same perimeter. Which of them is correct and why?
Answers
GPT 3.5
Jason is correct. The perimeter of a square is calculated by multiplying the length of one side by 4, so the perimeter of the square is 8 cm x 4 = 32 cm.
The perimeter of a rhombus, on the other hand, is calculated by multiplying the length of one side by 4 as well. However, a rhombus has equal side lengths but the opposite angles are not right angles like in a square. This means that the perimeter of the rhombus is larger than that of the square if they have the same side length.
Since the square and the rhombus both have a side length of 8 cm, their perimeter is not the same. Consequently, Bella’s statement is incorrect.
The perimeter of a rhombus, on the other hand, is calculated by multiplying the length of one side by 4 as well. However, a rhombus has equal side lengths but the opposite angles are not right angles like in a square. This means that the perimeter of the rhombus is larger than that of the square if they have the same side length.
Since the square and the rhombus both have a side length of 8 cm, their perimeter is not the same. Consequently, Bella’s statement is incorrect.
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