Answer:
Length of rectangular cake = 5 cm
Breadth of rectangular cake = 6 cm
Area of rectangle = 5 cm × 6 cm =30 cm²
If cake is equally distributed between Honey and Money, then areas of two parts should be equal.
So, Amount of cake that Honey and money got [tex]\frac{30}{2}=15[/tex]
Share of each (Honey and Money)=15 cm²
So, if the third cake if it was cut diagonally ,the cake must have some height.
Let the height of cake be H.
So, Height of third cake [tex]=\sqrt{L^2+B^2+H^2}\\\\=\sqrt{5^2+6^2+H^2}\\\\=\sqrt{61+H^2}[/tex]
If , H=0 that is height is negligible having 0 thickness,
Then the Length of third cake, which is divided into two parts=√61=7.81 cm