Atrapezoid has an area of 166.5 in.², a height of 9 in., and one base measuring 15 in. what is the length of the other base?

a) 3.5 in.
b) 7 in.
c) 18.5 in.
d) 22 in.

D) 22 in

Step-by-step explanation:

Area of a trapezoid A = h/2*(base 1 + base 2)

Given:

A = 166.5

h = 9, base 1 = 15

Plugging in the given values into the formula, we get

166.5 = 9/2*(15 + base 2)

166.5 = 4.5(15 + base2)

166.5/4.5 = 15 + base 2

37 = 15 + base 2

base 2 = 37 - 15

base 2 = 22 in

D) 22 in

Think of a flat sheet of paper. If you draw a line through that paper, you can rotate the paper around the line to lake it spin like a fan blade. This suggests infinitely many planes go through the same straight line. If you add a point somewhere off the line, then the plane becomes fixed and there is only one plane that goes through both the line and the point at the same time.