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Home > CC4 > Chapter 3 > Lesson 3.2.3 > Problem 3-101

3-101.

Write an equation for each situation below showing that the area as a product is equal to the area as a sum. Homework Help ✎

  • Review the Math Notes box in Lesson 3.2.2.

  • (12x + 1)(x − 5) = 12x2 − 59x − 5

  • See part (a).

  • Draw a generic rectangle and label the length and width.

  • (2x + 5)(x + 6) = 2x2 + 17x + 30

  • Fill in the grid by multiplying the length and width of each box.

  • Write an equation showing the product is the sum of the parts.
    Area as a sum = 2x2 + 12x + 5x + 30 = 2x2 + 17x + 30
    Area as a product = (2x + 5)(x + 6)d. 

  • See the help for part (c).