### Home > INT2 > Chapter 2 > Lesson 2.2.1 > Problem2-55

2-55.

Copy each of the area models below and fill in the missing dimensions and areas. Then write the area as a product equivalent to the area as a sum.

1.  generic rectangle left edge top$+5$ interior top edge right is blank interior top right$15$ left edge bottom is blank interior bottom left $x^2$ interior bottom right is blank bottom edge left  $x$ bottom edge right is blank

$x^² + 8x + 15 = (x + 3)(x + 5)$

1.  generic rectangle left edge top is blank interior top left $10x$ interior top right is blank left edge bottom $x$ interior bottom left $2x^2$ interior bottom right is blank bottom edge left is blank bottom edge right $+3$

$2x^² + 13x + 15 = (2x + 3)(x + 5)$