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8-29.

Solve each generic-rectangle puzzle. Write your answer in the form (total length)(total width) = sum of individual area parts = total area.  Homework Help ✎

  1. top edge left

    top edge right blank

    left edge top blank

      interior top left blank             

    interior top right

    left edge bottom

    interior bottom left blank

    interior bottom right

    In order to solve this rectangle, it might be useful to find the length of side first. Do this using the known information, times is equal to . Can you find what equals with division?

    If equals , can you find what side is? Use division and the knowledge that () times is equal to .

    Once you find that is equal to , you know that the total length equals and the total width equals .
    Can you fill in the rest of the rectangle and write your answer in the form originally provided in the instructions?

    top edge left

    top edge right

    left edge top

    interior top left blank               

    interior top right

    left edge bottom

    interior bottom left blank

    interior bottom right

  1. top edge left

    top edge middle blank

    top edge right blank

    left edge top blank

      interior top left    

    interior top middle blank

    interior top right

    left edge bottom

    interior bottom left blank

    interior bottom middle

    interior bottom right blank

  • Using the same strategy as part (a), find the length of sides . With that knowledge, you will be able to find the values of .

    It would help if you found first. Remember, in the final steps, these values will serve in the tens place value.

top edge left

top edge middle

top edge right

left edge top

interior top left    

interior top middle blank

interior top right

left edge bottom

interior bottom left

interior bottom middle

interior bottom right