Answer:
The height of trapezoid is 4.6 meters.
Step-by-step explanation:
We are given the following in the question:
A trapezoid has two bases that measure 2.3 meters and 7.9 meters.
[tex]a = 2.3\text{ meters}\\b = 7.9\text{ meters}[/tex]
Area of trapezoid, A = 23.46 square meters
Area of trapezoid is given by:
[tex]A = \dfrac{(a+b)h}{2}[/tex]
where h is the height of the trapezoid.
Putting values, we get,
[tex]23.46 = \dfrac{(2.3+7.9)h}{2}\\\\46.92 = 10.2h\\\\\Rightarrow h =\dfrac{46.92}{10.2}= 4.6\text{ meters}[/tex]
Thus, the height of trapezoid is 4.6 meters.
