A trapezoid has an area of 18m square and parallel sides that measure 4m and 2m. Wat is the height of the trapezoid?

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Answer 1 · 2015-11-26T15:06:16

The height of the trapezoid is #6 "m"#.

Let's call the parallel sides of your trapezoid #a# and #b# and let's call the height of the trapezoid #h#.

The formula for the area of the trapezoid is

#A = (a+b)/2 * h#

In your case, you know #A#, #a# and #b# and you would like to compute #h#, so plug the numbers into the equation and solve it for #h#:

# 18 "m"^2 = (4 "m" + 2 "m")/ 2 * h#

#<=> 18 "m"^2 = 3 "m" * h#

#<=> h = 6 "m"#