长方形两邻边的长差2,对角线长为4,长方形的面积为_.
长方形两邻边的长差2,对角线长为4,长方形的面积为______.
数学人气:998 ℃时间:2020-04-11 16:41:34
优质解答
设长方形短边为x,则长边为x+2,
根据勾股定理得:x
2+(x+2)
2=4
2,
整理得:x
2+2x-6=0,
解得:x=
=-1±
,
∴长方形宽为-1+
,长为1+
,
则面积为6.
故答案为:6
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