CPM Homework Help : INT2 Problem 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.

$(2x + 1)(2x + 1)$
Hint (a):
Remember to write each term in the expression outside of the boxes, and then multiply.
generic rectangle
$2x$
$1$
$2x$
$4x^2$
$2x$
$1$
$2x$
$1$
Answer (a):
Equivalence statement: $4x² + 4x + 1$

$(2x)(4x)$
Hint (b):
Refer to hint (a) when drawing the area model.

$2(3x + 5)$

Answer (c):

$6x + 10$

generic rectangle

top edge left is $3x$

top edge right is $5$

left edge top is $2$

interior top left is $6x$

interior top right is $10$

left edge bottom is blank.

interior bottom left is blank.

interior bottom right is $0$

$y(2x + y + 3)$

Answer (d):

$2xy + y^2 + 3y$

generic rectangle

top edge left is $2x$

top edge middle is $y$

top edge right is $3$

left edge top is $y$

interior top left is $2xy$

interior top middle is $y^2$

interior top right is $3y$

left edge bottom is blank.

interior bottom left is blank.

interior bottom middle is blank.

interior bottom right is blank.