3-74.
d.
b.
a.
Use the group of algebra tiles below to complete the following problems.
79
O
Arrange the algebra tiles into one large rectangle, with the x-tile in the
lower left corner. Remember to flip the algebra tiles so that the positive
side of each tile is facing up. On your paper, sketch what your rectangle
looks like.
The area of a rectangle can be written as the sum of the areas of all its
parts. Write the area of the rectangle as the sum of its parts. Simplify your
expression for the sum of the rectangle's parts.
The area of a rectangle can also be written as length x width. What are the
dimensions (length and width) of the overall rectangle you made? Label
your sketch with its dimensions, then write the area of the rectangle as a
product, that is, length x width.
Write an equation that shows that the area written as a sum is equivalent to
the area written as a product.