(maths ) open - ended question

2010-02-17 12:00 am
tommy think that if the perimeter of figure o is longer than that of figure B , the area of figure A ' MUST ' larger than that of figure B . comment on tommy opinion and explain briefly

回答 (1)

2010-02-17 12:13 am
✔ 最佳答案
Not agree with Tommy opinion.
Let A be a rectangle with length 20 , width 4
then the perimeter of A = 2 x (20+4) = 48
the area of A = 20 x 4 = 80
Let B be a square with side 10 ,
then the perimeter of B = 4 x 40 = 40
the area of B = 10 x 10 = 100
The perimeter of A = 48 is longer than B = 40 ,
but the area of A = 80 is NOT larger than B = 100.


2010-02-16 16:16:14 補充:
It should be :

then the perimeter of B = 4 x 10 = 40

(line 6)


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