area of 1st discard = 6x
area of 2nd discard = 3(x-6)
so total area discarde = .....
area of 2nd discard = 3(x-6)
so total area discarde = .....
First, he cut 6 inches off the right side of the paper, so the width of the remaining piece is (x - 6) inches. The height remains the same, which is x inches. Therefore, the area of the first scrap is given by (x - 6) * x = x² - 6x square inches.
Next, he cut 3 inches off the top of the remaining piece. The width remains the same, (x - 6) inches, and the new height is (x - 3) inches. Therefore, the area of the second scrap is given by (x - 6) * (x - 3) = (x² - 6x) - 3(x - 6) = x² - 6x - 3x + 18 = x² - 9x + 18 square inches.
To find the total area of the discarded scraps, we simply add the areas of the first and second scraps together:
Total area = (x² - 6x) + (x² - 9x + 18)
= x² - 6x + x² - 9x + 18
= 2x² - 15x + 18 square inches.
Therefore, the expression that represents the total area in square inches of the scraps that Jeremy discarded is 2x² - 15x + 18.