we know that
The area model for multiplication is a pictorial way of representing
multiplication. In the area model, the length and width of a rectangle
represent factors, and the area of the rectangle represents their product
So
in this problem
the factors are
\(length 4.6 \\ wide 3\)
decompose the number \(4.6\)
\(4.6=(4+0.6)\)
\(Area of rectangle=Area rectangle 1+Area rectangle 2\\=(4+0.6)*3\\ =4*3+0.6*3\\ =12+1.8\\ =13.8\)
see the attached figure to better understand the problem
therefore
the answer is
the product of \(4.6\) and \(3\) is equal to \(13.8\)
