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3-77.

For each of the polygons formed by algebra tiles below:

  • Sketch and label the shape on your paper and write an expression that represents the perimeter.

  • Simplify your perimeter expression as much as possible.

  1. A row of positive algebra tiles aligned end to end as follows: 1 horizontal X tile, 1 positive unit tile, 1 horizontal Y tile, 1 positive unit tile, and 1 horizontal X tile.

  • Start by labeling the sides.

    A row of positive algebra tiles aligned end to end as follows: 1 horizontal X tile, 1 positive unit tile, 1 horizontal Y tile, 1 positive unit tile, and 1 horizontal X tile. The sides of the tiles are labeled as follows starting on the top left and going clockwise: X, 1, Y, 1, X, 1,  X, 1, Y, 1, X, 1.


    Combine like terms.

  1. 2 positive algebra tiles: A vertical X tile connected on the right with a unit tile aligned on the bottom.

  • See the help for part (a).

    2 positive algebra tiles: A vertical X tile connected on the right with a unit tile aligned on the bottom. The sides of the tiles are labeled as follows starting on the top left and going clockwise: 1, (X minus 1), 1, 1, 2, X

  1. 5 positive algebra tiles. 1 Y squared tile with 1 vertical X Y tile connected to the right. 1 unit tile is on the top left corner of the Y squared tile, 1 unit tile on the top right corner of the Y squared tile. and 1 unit tile on the top right corner of the X Y tile.

  • The algebra tile shape of the problem have the sides of the tiles labeled as follows starting on the top left and going clockwise: 1, 1, (Y minus 2), 1, 1, 1, (X minus 1), 1, 1, 1  Y, X, Y, Y, 1.

    The algebra tile shape of the problem have the sides of the tiles labeled as follows starting on the top left and going clockwise: 1, 1, (Y minus 2), 1, 1, 1, (X minus 1), 1, 1, 1  Y, X, Y, Y, 1.

  1. 5 positive algebra tiles. 3 vertical Y tiles are side by side. To the right 1 horizontal X tile is connected and aligned on the bottom with 1 X squared tile on top of the X tile aligned to the right.

  • See the help for part (a).