关于放大一张复印纸的数学题

题目

关于放大一张复印纸的数学题
一道英文原体,抱歉我不太回翻译,A copier can be set to enlarge an image to as much 200% of the original or shrink an image to as little as 20% of the original.If a shape is known to have perimeter of 8 inches and the copier is set to 125%,by what factor will the area increase when the image is coped?(Assume that when a copier is set to 125%,any length in the copy is 125% of the corresponding length in the original.Recall that if you increase 5 by a factor if 3 you get 15.)
我不是要翻译，不好意思，让大家误会不好意思，这题问得是找factor，直接乘我是知道的就是找这个factor不知到，希望大家帮个忙。

答案

一台复印机可以被设定为将原始图像扩大到200%,或缩小到原始图像的20%.如果已知一个形状的周长是8英寸,而且复印机被设定为原始图像的125%,图形被复印后,面积比原来增加多少倍?(假设当复印机被设定为125%时,任何长度在复印后均为原长的125%.记住,如果你将5增加到3倍,得到15).
注:factor意为因子; 但翻成倍数较通顺.
上面机器翻译太明显
答案是1.25*1.25 = 1.5625