### Home > CCA > Chapter Ch6 > Lesson 6.2.1 > Problem 6-59

Copy each generic rectangle below and fill in the missing parts. Then write an equation showing the area as a product and the area as a sum.

left edge top blank

interior top left blank

interior top middle

interior top right blank

left edge bottom

interior bottom left

interior bottom middle blank

interior bottom right

bottom edge left blank

bottom edge middle

bottom edge right blank

What should you multiply

by to get ?

Use the same logic to fill in the sides of the rectangle. A generic rectangle with two rows of 3. The left edge bottom is negative 3. The bottom edge far left is 2, X. The bottom edge middle is negative 4, Y. The interior is labeled as follows: Upper row middle is negative 20 x, y. The lower row far left is negative 6, x. The lower row far right is negative 15.Fill in the remaining empty squares in the rectangle. Added to the generic rectangle: The left edge top is negative 5, x. The bottom edge far right is 5. The interior is labeled as follows: Upper row far left is negative 10 x, squared. The upper row far right is 25, X. The lower row middle is 12, y.

To write the equation as a product, multiply the polynomials on the outside of the rectangle.

To write the equation as a sum, add the values inside the rectangle.

left edge top

interior top left

interior top right blank

left edge bottom blank

interior bottom left blank

interior bottom right

There is more than one possible solution.