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Home > CCA > Chapter 3 > Lesson 3.2.2 > Problem 3-49

3-49.

rectangleWrite the area of the rectangle at right as a product and as a sum. Homework Help ✎

Find the height and the base by finding the dimensions of each row and column.

height = x + 2 base = 2x + 4

To find the area as a product, area = base × height.

area = (2x + 4)(x + 2)

To express the area as a sum, add up all of the tiles and simplify.

x + x + 1 + 1 + 1 + 1 + x + x + 1 + 1 + 1 + 1 + x² + x² + x + x + x + x = 2x² + 8x + 8

Area as a product = (2x + 4)(x + 2)
Area as a sum = 2x² + 8x + 8