find the area of the trapezoid 9 m 15m 20m I think you have to have three areas I'm not sure can you anybody show me how to do this and how you find out the area this show your work please I will mark brainiest

find the area of the trapezoid 9 m 15m 20m I think you have to have three areas Im not sure can you anybody show me how to do this and how you find out the area class=

Respuesta :

The 9-m and 20-m sides are both perpendicular to the same segment, so they are parallel. They are the bases of the trapezoid.
The 15-m side that is perpendicular to the two bases is the height of the trapezoid.
The area of a trapezoid is
A = (B + b)h/2
where B and b are the lengths of the bases, and h is the height.

A = (20 m + 9 m) * (15 m)/2 = 217.5 m^2
I'm not sure about finding 'three areas', but the formula to calculate the area of a trapezium is
[tex] \frac{a + b}{2} h[/tex]
a and b are the parallel widths of the trapezium, and h is the height. Using this, we can answer your question by substituting the given information:
[tex]area \: = \frac{9 + 20}{2} \times 15 \\ = \frac{29}{2} \times 15 \\ = 14.5 \times 15 \\ = 217.5[/tex]
Therefore, the area of the trapezium pictured is 217.5m^2