Which equation can be used to find the area of the of the trapezoid? a) a = 2(15 + 23)(9) b) a = 2(15 + 23)(9) c) a = 1/2(15 + 23)(9) d) a = 1/2 (152 + 232)(92)

C) 1/2(15 +23)(9)

Step-by-step explanation:

The formula for the area of a trapezoid in terms of base lengths b1 and b2 and height h is ...

... A = 1/2(b1 +b2)h

Substituting the values shown in the figure, this becomes ...

... A = 1/2(15 +23)(9) . . . . . matches selection C

step-by-step explanation:

let pq = qr = rs = x, and xz = y and zu = z.

if the horizontal lines are parallel, then corresponding segments are in proportion:

substitute:

therefore 3 = y = z.

xu = y + z → xu = 3 + 3 = 6