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6-106.

Find the perimeter and area of each figure made of algebra tiles below.

  1. 1 vertical x tile, with 1 x squared tile, connected on the right side, and 1 unit tile, connected underneath the x tile.

    Remember, the small square is a unit tile, which is a square.

    The dimensions have been placed on the algebra tiles for you.

    1 vertical x tile, with 1 x squared tile, connected on the right side, and 1 unit tile, connected underneath the x tile. The edges are labeled, Going clockwise from the upper left corner, as follows: 1, x, x, x, 1, 1, 1, x.

    units

  1. 1 horizontal x tile and 1 unit tile placed underneath, aligned on the left side.

    Looking at the algebra tiles below, do you understand why the length of one side is labeled ?

    This figure has edges labeled, boing clockwise from the upper left corner, as follows: x, 1, x minus 1, 1, 1, 1, 1.

    Since part of the side with length touches the unit tile, the side that is included in the calculation of the perimeter is .

  1. A column of 1 horizontal, x tile, 1 x squared tile, 1 horizontal, x tile, and 1 unit tile aligned on the left side.

    Refer to parts (a) and (b).