Magic Belt Problem Solution
A magic wish-granting rectangular belt always shrinks to 1/2 its length and 1/3 its width whenever its owner makes a wish. After three wishes, the surface area of the belt's front side was 4 cm2.
What was the original length, if the original width was 9 cm?
Let the original lenght = x cm.
and the given width = 9 cm.
lenght =x/2 cm; width =9/3=3 cm;
lenght =x/4 cm; width =1 cm;
lenght =x/8 cm; width =1/3 cm;
After three wishes:
The given Surface area A (say) = 4 cm2;
Surface area A = length * width;
4 cm2 =(x/8 )*(1/3) cm2;
x = 4 *24= 96 cm;
The original length x= 96 cm;