hank orders popcorn while watching a movie. the popcorn was served in a trapezoidal bucket. the height of the bucket is 10x-9 cm, and the length of its broad bases are 10x-2 cm and 16x+10cm. which of th following formulas can be used to find the area, A, of the broad side of the trapezoidal bucket

Area of the trapezoidal bucket, A is 130x² - 77x - 36 cm²

Step-by-step explanation:

Step 1: Area of a trapezoid = 1/2 (Sum of parallel sides) * Height

Sum of parallel sides = (10x - 2) + (16x + 10)

= 26x + 8 = 2 (13x + 4)

Height = 10x - 9

⇒ Area of the bucket = 1/2 * 2 (13x + 4) (10x - 9)

= (13x + 4) (10x - 9) cm²

= 130x² - 117x + 40x - 36

A = 130x² - 77x - 36