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Home > CC2 > Chapter 5 > Lesson 5.2.3 > Problem 5-51

5-51.

On your paper, sketch the algebra tile shape shown at right. Write expressions for the area and perimeter of the shape. Then calculate the area and perimeter of the shape for each .  

Add the areas of all six tiles to find the shape's total area.

Area:

Add the lengths of all the sides of the shape to find the perimeter.

Try labeling all the sides first.

Perimeter:

Three vertical x tiles connected side by side with a column of two unit tiles to the bottom right of the x tiles and one more unit tile bottom right of the column.

  1. cm

    Substitute cm for in each expression.



    Use the Order of Operations to simplify and calculate the answer.

    sq cm
    cm

  2. cm Hint: Draw a diagram. Does your perimeter expression work?

    Three half unit tiles connected horizontally. A column of two unit tiles is connected to the bottom right of the half unit tiles and one more unit tile is connected to the bottom right of the column.

    sq cm
    cm

  3. cm

    See part (a).