Respuesta :

Answer:

The area of the trapezium is [tex]74.8\ cm^2[/tex]

Step-by-step explanation:

Area of a trapezium:

[tex]\displaystyle A=\frac{b1+b2}{2}h[/tex]

This formula is valid if b1 and b2 are parallel and h is perpendicular to both.

Since the trapezium given in the problem satisfies those conditions, we use the formula with:

b1=15 cm

b2=7 cm

h=6.8 cm

[tex]\displaystyle A=\frac{15+7}{2}\cdot 6.8[/tex]

[tex]A=74.8\ cm^2[/tex]

The area of the trapezium is [tex]74.8\ cm^2[/tex]