Math Help - Trapez-Trouble

1. Trapez-Trouble

Hello friend.
I need to find the area of the trapez (from the leaning line and down).
Obviously I need to find out how wide it is, but I'm not sure how since I can not come up with anything clever.
Help me out here: How do I find X?

2. Re: Trapez-Trouble

Originally Posted by Enjubi
Hello friend.
I need to find the area of the trapez (from the leaning line and down).
Obviously I need to find out how wide it is, but I'm not sure how since I can not come up with anything clever.
Help me out here: How do I find X?

God aften eller hej ,

the area A of a trapezium is calculated by $A_T = \frac{a+c}2 \cdot h$ where a and c denote the parallel sides and h the perpendicular distance of the parallels.

With your values the area is

$A_T = \frac{x+x+1.5}2 \cdot 3$

In fact the value of 63.43° is not necessary. Maybe there is an information missing where you need to know the value of this angle?

3. Re: Trapez-Trouble

Hello, Enjubi!

I need to find the area of the trapezoid (from the slanted line and down).
How do I find $x$?
Code:
  -   *-----------------------*
:   |                       |
:   |                       |
:   |                       |
:   |                       *B
:   |                 *     |
3   |           *           | 1.5
:   |     *                 |
:  A* - - - - - - - - - - - *C
:   |                       |
:   |                       |x
:   |                       |
-   *-----------------------*
: - - - - - 3 - - - - - :
Triangle $ABC$ can be placed higher or lower.

The distance $x$ can range from 0 to 1.5.