Question

Please help what is the area

Answer 1

Given:

The figure of a trapezoid.

Length of mid-segment = 5.5

Height of the trapezoid =
`6√(3)`

To find:

The area of the trapezoid.

Solution:

The area of a trapezoid is:

`A=M* h` ...(i)

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

Where, a,b are bases and h is the vertical height.

We know that
`M=(a+b)/(2)` is the length of the mid-segment.

Putting M=5.5 and
`h=6√(3)` in (i), we get

`A=5.5* 6√(3)`

`A=33√(3)`

Therefore, the area of the trapezoid is
`33√(3)` units squared.