Question

Area as a sum:
Area as a Product:


I need the are as a sum Nd a product

Answer 1

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
`2x^2,10x, 3x, 15`.

The area as a sum is the sum of all the terms of given area model.

Area as a sum =
`2x^2+10x+3x+15`

=
`2x^2+13x+15`

The area as a product is the factor form of sum of all the terms of given area model.

Area as a product =
`2x^2+10x+3x+15`

=
`2x(x+5)+3(x+5)`

=
`(x+5)(2x+3)`

Therefore, the area as a sum is
`2x^2+13x+15` and the area as a product is
`(x+5)(2x+3)`.