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.
$2x$
$1$
$2x$
$4x^2$
$2x$
$1$
$2x$
$1$
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):
$6x + 10$
$3x$
$5$
$2$
$6x$
$10$
$0$
$0$

$y(2x + y + 3)$
Answer (d):
$2xy + y^2 + 3y$
$2x$
$y$
$3$
$y$
$2xy$
$y^2$
$3y$

	$2x$	$1$
$2x$	$4x^2$	$2x$
$1$	$2x$	$1$

	$3x$	$5$
$2$	$6x$	$10$
	$0$	$0$

	$2x$	$y$	$3$
$y$	$2xy$	$y^2$	$3y$