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Home > INT1 > Chapter 3 > Lesson 3.2.1 > Problem 3-77

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).

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