矩形的周长为8倍的根号2,面积1,则矩形的长和宽分别为多少?

设矩形的一条边为 x , 则它的邻边为 4√2 - x x(4√2 - x) = 1x² - 4√2x + 1 = 0x² - 4√2x + 8 = 7(x - 2√2)²= 7x = 2√2 + √7 或 x = 2√2 - √7则 4√2 - x =2√2 - √7 或4√2 - x = 2...