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Home > CC2 > Chapter 5 > Lesson 5.2.5 > Problem 5-75

5-75.

Connected Algebra tiles, aligned on the bottom, from left to right: 1 x squared tile, a column of 2 horizontal x tiles, and 1 unit tile.Write expressions for the perimeter and the area of this algebra tile shape. Then simplify each expression by combining like terms.  

The perimeter is the distance around a shape. A bold line outlines the diagram. 

Label the values of all of the sides. Added to the diagram, the Lengths of each side, starting in the upper left, going clockwise: x, (x minus 2), x, 1, 1, 1, 1, x, x, x.

Add these values together to find the expression for the perimeter.

Simplify this expression by combining like terms.

The area is the space bound within the perimeter.

Add the areas of all tiles within the perimeter.

Now simplify this expression.