CPM Homework Help : INT1 Problem 3-90

What is the area of each part of the entire rectangle at right? What is the area of the whole figure? Write the area of the rectangle as a product and as a sum.

$x$

$+8$

$x$

$+\ 3$

Step 1:

Copy the generic rectangle.

Step 2:

Fill in the table by multiplying the column and row terms.

Step 3:

The area could be written as a product. The RED terms are the factors for the product.

Step 4:

The area could be written as a sum. Add the RED terms within the rectangle.

	$x$	$+8$
$x$	$\color{red}{x^2}$	$\color{red}{8x}$
$+3$	$\color{red}{3x}$	$\color{red}{24}$

$\text{Area }=(x+8)(x+3)$

$\text{Area }=x^2+8x+3x+24=x^2+11x+24$