Home > INT2 > Chapter 2 > Lesson 2.3.4 > Problem2-119

2-119.

Sketch an area model with the following dimensions on your paper, label the dimensions, and write an equivalence statement for its area as a product and as a sum.

1. $(2x + 1)(2x + 1)$

Remember to write each term in the expression outside of the boxes, and then multiply.

 generic rectangle $2x$ $1$ $2x$ $4x^2$ $2x$ $1$ $2x$ $1$

Equivalence statement: $4x² + 4x + 1$

1. $(2x)(4x)$

Refer to hint (a) when drawing the area model.

1. $2(3x + 5)$

$6x + 10$

1. $y(2x + y + 3)$

$2xy + y^2 + 3y$