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 ✎
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