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3-70.

Use a generic rectangle to multiply the following expressions. Write each solution both as a sum and as a product.  


  1. Draw a generic rectangle and label the length and width.

    Generic rectangle

    top left edge

    top right edge

    left edge top

    interior top left blank

    interior top right blank

    left edge bottom

    interior 
    bottom  left blank

    interior 
    bottom
    right blank

    Fill in the grid by multiplying the length and width of each box.

    Generic rectangle

    top left edge

    top right edge

    left edge top

    interior top left

    interior top right

    left edge bottom

    interior 
    bottom  left

    interior 
    bottom
    right



    Write an equation showing the product is the sum of the parts.
    Area as a sum:
    Area as a product:


  1. See the help for part (a).

    Generic rectangle

    top left edge

    top right edge

    left edge top

    interior top left

    interior top right

    left edge bottom

    interior 
    bottom  left

    interior 
    bottom
    right

    Area as product:
    Area as sum:


  1. See the help for part (a).

    Generic rectangle

    top left edge

    top right edge

    left edge top

    interior top left

    interior top right

    left edge bottom

    interior 
    bottom  left

    interior 
    bottom
    right


  1. See the help for part (a).