Question

A trapezoid has two bases that measure 2.3 meters and 7.9 meters. If the trapezoid has an area of 23.46 square meters, find it's height. HINT*** Use the area of a trapezoid formula to solve for "h".

Answer 1

The height of trapezoid is 4.6 meters.

Explanation:

We are given the following in the question:

A trapezoid has two bases that measure 2.3 meters and 7.9 meters.

`a = 2.3\text{ meters}\\b = 7.9\text{ meters}`

Area of trapezoid, A = 23.46 square meters

Area of trapezoid is given by:

`A = ((a+b)h)/(2)`

where h is the height of the trapezoid.

Putting values, we get,

`23.46 = ((2.3+7.9)h)/(2)\\\\46.92 = 10.2h\\\\\Rightarrow h =(46.92)/(10.2)= 4.6\text{ meters}`

Thus, the height of trapezoid is 4.6 meters.