Given:
The area model.
To find:
The area as a sum and area as a product.
Solution:
The four terms of the area model are [tex]2x^2,10x, 3x, 15[/tex].
The area as a sum is the sum of all the terms of given area model.
Area as a sum = [tex]2x^2+10x+3x+15[/tex]
= [tex]2x^2+13x+15[/tex]
The area as a product is the factor form of sum of all the terms of given area model.
Area as a product = [tex]2x^2+10x+3x+15[/tex]
= [tex]2x(x+5)+3(x+5)[/tex]
= [tex](x+5)(2x+3)[/tex]
Therefore, the area as a sum is [tex]2x^2+13x+15[/tex] and the area as a product is [tex](x+5)(2x+3)[/tex].
