题目内容
正方形边长增加
,面积增加______%
| 1 |
| 10 |
设原来的边长为a,则增加后的边长为(1+10%)a,
原来的面积:a×a=a2,
现在的面积:(1+10%)a×(1+10%)a,
=1.1a×1.1a,
=1.21a2,
面积增加:
(1.21a2-a2)÷a2,
=0.21a2÷a2,
=0.21,
=21%.
答:面积增加21%.
故答案为:21.
原来的面积:a×a=a2,
现在的面积:(1+10%)a×(1+10%)a,
=1.1a×1.1a,
=1.21a2,
面积增加:
(1.21a2-a2)÷a2,
=0.21a2÷a2,
=0.21,
=21%.
答:面积增加21%.
故答案为:21.
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