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Home > CCA > Chapter 3 > Lesson 3.2.3 > Problem 3-58

3-58.

Examine the rectangles formed with tiles below. For each figure, write its area as a product of the width and length and as a sum of its parts. Homework Help ✎

a.

  • Find the outside dimensions of the large rectangle.

  • See dimensions below.

  • As a product: multiply the dimensions of the large rectangle together.
    As a sum: add up the areas of all of the small rectangles.

  • area as product = (length)(width) = (x + 3)(x + 1)
    area as sum = x + x + x + x2 + 1 + 1 + 1 + x = x2 + 4x + 3

  • Use the same method as part (a).

  • area as a product = (length)(width) = (2x + 1)(x + 2)
    product as a sum = x2 + x2 + x+ x + x + x + x + 1 + 1 =
    2x2 + 5x + 2