### Home > CC1MN > Chapter 2 > Lesson 2.2.2 > Problem2-46

2-46.

Draw a generic rectangle to help you calculate each product. For each part, write: (total dimension)(total dimension) $=$ sum of individual area parts $=$ total area. For example, the diagram at right shows that $(12)(27)=200+40+70+14=324$.

1.  $( 73 ) ( 42 )$

• Think back to the way you solved the generic rectangles in class. Change $73$ to $70 + 3$. Change $42$ to $40 + 2$.

• Part of the rectangle has been filled in for you.

•  Generic rectangle top edge left $70$ top edge right blank left edge top blank interior top left  $2800$ interior top right blank left edge bottom$2$ interior bottom left blank interior bottom right$6$
1.  $125 \cdot 81$

This one is solved just like the one at left. Remember to add a hundreds place column.

 Generic rectangle top edge left$10$ top edge right$+2$ left edge top$20$ interior top left  $200$ interior top right  $40$ left edge bottom$+7$ interior bottom left$70$ interior bottom right$14$