Answer: Let's call the length of the cake "l" and the width of the cake "w". The total area of the cake would be l * w.
Half of the cake is frosted with vanilla icing, so the area of the vanilla half would be (l * w) / 2.
And 2/3 of the vanilla half is to be covered with sprinkles, so the area covered with sprinkles would be (l * w) / 2 * 2/3 = (l * w) / 3.
The other half of the cake is frosted with chocolate icing, so the area of the chocolate half would be (l * w) / 2.
And 1/4 of the chocolate half is to be covered with sprinkles, so the area covered with sprinkles would be (l * w) / 2 * 1/4 = (l * w) / 4.
So, the total area of the cake covered with sprinkles would be (l * w) / 3 + (l * w) / 4.
Explanation: