Atrapezoid has an area of 21.4 m, the shorter base is 4.6 m and the longer base is 6.1 m. what is the height of trapezoid?
a. 10 m
b. 6 m
c. 4 m
d 4.5 m

Explanation:

h = height of trapezoid (in meters)

b1 and b2 are the parallel bases, which are b1 = 4.6 and b2 = 6.1

A = 21.4 is the area of the trapezoid

Plug those values into the area formula of a trapezoid. Isolate h

A = h*(b1+b2)/2

21.4 = h*(4.6+6.1)/2

21.4 = h*(10.7/2)

21.4 = h*(5.35)

21.4 = 5.35h

5.35h = 21.4

h = 21.4/5.35 divide both sides 5.35

h = 4

The height is 4 meters