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Home > CCA > Chapter Ch4 > Lesson 4.3.1 > Problem 4-113

4-113.

Find each of the following products by drawing and labeling a generic rectangle or by using the Distributive Property.  

  1.   

    Create a generic rectangle. A generic rectangle: A rectangle with 4 quadrants. Values within the rectangle indicate area. Values on the outside edge represent length and width of the rectangle.

    Put the products on the outside of the rectangle.  A generic rectangle where the outside upper left edge is + 5 and the lower left edge is X. The bottom left edge is X and the bottom right edge is + 4.

    Find the area of the smaller rectangles. The same rectangle in hint 2 with the interior labeled as follows: Upper left box is 5 X. Upper right box is 20. Lower left box is X squared. Lower right box is 4 X.

    Write the areas as a sum.
    .

A generic rectangle: A rectangle with 4 quadrants. Values within the rectangle indicate area. Values on the outside edge represent length and width of the rectangle.

A generic rectangle where the outside upper left edge is + 5 and the lower left edge is X. The bottom left edge is X and the bottom right edge is + 4.

The same rectangle in hint 2 with the interior labeled as follows: Upper left box is 5 X. Upper right box is 20. Lower left box is X squared. Lower right box is 4 X.

  1.   

    Follow the steps in part (a).