Find the area of the shaded region in the figure.Write your result as a polynomial in standard form. A) 5x² - 2x B) 5x² + 6x C) 7x² - 2x D) 7x² + 6x E) 6x² - x

Question

Quizplus · Accepted Answer

The shaded region can be divided into a trapezoid and two triangles. The area of the trapezoid is: (1/2) x (6x + 2x) x 1 = 4x The area of each triangle is: (1/2) x 2x x 1 = x So, the total area of the shaded region is: 4x + 2x = 6x Writing the answer in standard form, we get: 6x² - x, which corresponds to choice A.

Find the Area of the Shaded Region in the Figure