6.2、面积和周长的实际问题

长方形的面积＝长×宽，正方形的面积=边长×边长，长方形的周长=（长＋宽）×2，正方形的周长=边长×4。

第一组：公式推导

1.一个边长1米的正方形，用边长1分米的正方形去铺，一边最多能铺几个？满铺能铺多少个？

2.一个长方形，长8厘米，宽3厘米，用边长1厘米的正方形去铺，沿长边能铺多少个？沿宽边能铺多

少个？满铺能铺多少个？

3.用边长1分米的正方形铺课桌，沿长边铺了6个，沿宽边铺了4个，满铺需要边长1分米的正方形多

少个？

4.用4平方分米的纸片铺讲台，沿长边铺了8个，沿宽边铺了4个，讲台的面积是多少？

第二组：基础题

1.一辆洒水车，作业宽度是8米，每分钟前进60米，5分钟能洒水多大？

2.一个正方形的桌子边长8分米，在上面铺上桌布，至少多大？在四周镶边，至少多长？

3.一片长方形树林，长80米，宽40米，每平方米能释放2千克氧气，吸收1千克二氧化碳需要4平方

米，这片树林能释放多少千克氧气？多少千克二氧化碳？

第三组：组合图形的面积和周长

1.测量右图必要的数据求出周长和面积（用毫米做单位）

2.下图都是边长2厘米的正方形拼成的图形，求出每个图形的周长和面积

第四组：面积的变化（建议画图）

1.在一块长75厘米、宽45厘米的长方形中剪成最大的正方形，剩下图形的周长和面积各是多少？

2.在一块长75厘米、宽45厘米的长方形中剪成最大的正方形，剩下图形再剪下一个最大的正方形，这

时剩下图形的周长和面积各是多少？

3.一个长方形，长18厘米，宽5厘米，裁剪最大的正方形，至少能剪多少个？剩下图形的周长和面积

各是多少？

第五组：操作题（以下相邻两点距离1厘米）

1.你能画几个周长是18厘米的长方形？并分别计算他们的面积？

2.用12个边长厘米的正方形画长方形，你能画几个？并分别计算他们的周长？

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