A lawn in the shape of a trapezoid has an area of 1,833 square meters. The length of one base is 52 meters, and the length of the other base is 42 meters. What is the height of the trapezoid?

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Answer 1 · 2018-03-17T21:07:23

The height is #39# meters

The formula for the area of a trapezoid is:
#A = 1/2(a+b)h#

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The question gives us some of the information:
#A=1833#
#a = 42#
#b= 52#

Let's plug those into the equation and simplify to find #h#:
#1833 = 1/2(52+42)h#

#1833 = 1/2(94)h#

#1833 = 94/2h#

#1833 = 47h#

#1833/47 = h#

#39 = h#