Question

Word problem:Sophia wants to buy a tablet so she can watch tv and play games as well as complete her school work. She is researching all her different options and the tablet she chose says the length is (-4x^2-2x-3)cm and the width is (4x+3)cm. Question: What is the area of Sophia’s tablet (the red outline)? You must show and explain all your work and do not forget units of measurement.

Answer 1

Yonna, this is the solution to the problem:

Side 1 of the tablet = (4x + 3) cm

Side 2 of the tablet = (-4x² - 2x - 3) cm

Area of the tablet = Side 1 * Side 2

Area of the tablet = (4x + 3) * (-4x² - 2x - 3) cm²

Area of the tablet = (4x * -4x²) + (4x * -2x) + (4x * -3) + (3 * -4x²) + (3 * -2x) + (3 * -3)

Area of the tablet = -16x³ - 8x² - 12x - 12x² - 6x - 9 cm²

Area of the tablet = -16x³ - 20x² - 18x - 9 cm²