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 $(x+5)(2x+3)$.