The equation after filling the blank with the use of an area model to multiply (4x 3)(2x 5) is,
[tex]8x^2+26x+15[/tex]
What is the area model?
The area model is a rectangle shape diagram which is used to solve the problem related to multiply or divide. In this model, factors are specified as the length and width of that rectangle.
The factors are given as,
[tex](4x +3)\\(2x +5)[/tex]
Multiply the factors,
[tex](4x +3)\times(2x +5)=4x(2x+5)+3(2x+5)\\(4x +3)\times(2x +5)=8x^2+20x+6x+15\\(4x +3)\times(2x +5)=8x^2+26x+15[/tex]
The figure of the area model of the given problem is attached below. Thus, the equation after filling the blank with the use of an area model to multiply (4x 3)(2x 5) is,
[tex]8x^2+26x+15[/tex]
Learn more about the area model here;
https://brainly.com/question/19158764
