如图所示,要建一个面积为150m눀的长方形养鸡场,为了节约材料,鸡场的一边靠着原有的一堵墙

2025-03-29 07:52:22
推荐回答(3个)
回答1:

(1)本题可设鸡场的宽为x,则长可用含x的代数式表示,从而这个鸡场的面积可用含x的代数式表示,列方程求解即可;
(2)因为鸡场得依靠墙,所以鸡场的长最长不能大于18米,则18米对鸡场长度起到限制的作用.
解:(1)设鸡场的宽为x米,则长为(35-2x)米.
依题意列方程为x(35-2x)=150.
整理,得4x²-35x+150=0.
解方程,得x1=10,x2=7.5.
所以当x=10时,35-2x=15.
故当鸡场的宽为10米时,长为15米;【符合题意】
所以当x=7.5时,35-2x=20.
当鸡场宽为7.5米时,长为20米.(大于18米,不符合要求)

回答2:

设长为x,则宽为(35-x)/2(0依题意得x*(35-x)/2=150
解得x=20(舍)或15
所以长为15,宽为10

回答3:

35-18=17cm 17/2=8.5cm 长17厘米,宽8.5厘米。

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