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
[tex] length 4.6 \\ wide 3 [/tex]
decompose the number [tex] 4.6 [/tex]
[tex] 4.6=(4+0.6) [/tex]
[tex] Area of rectangle=Area rectangle 1+Area rectangle 2\\=(4+0.6)*3\\ =4*3+0.6*3\\ =12+1.8\\ =13.8 [/tex]
see the attached figure to better understand the problem
therefore
the answer is
the product of [tex] 4.6 [/tex] and [tex] 3 [/tex] is equal to [tex] 13.8 [/tex]
