Respuesta :

Given:

The parallel sides of a trapezium are 28.7 cm and 22.3 cm.

The distance between parallel sides is 16 cm.

To find:

The area of a trapezium.

Solution:

The area of the trapezium is:

[tex]A=\dfrac{a+b}{2}h[/tex]

Where, [tex]a,b[/tex] are parallel sides and [tex]h[/tex] is the vertical distance between the parallel sides.

Putting [tex]a=28.7, b=22.3,h=16[/tex] in the above formula, we get

[tex]A=\dfrac{28.7+22.3}{2}\times(16)[/tex]

[tex]A=\dfrac{51}{2}\times 16[/tex]

[tex]A=51\times 8[/tex]

[tex]A=408[/tex]

Therefore, the area of the trapezium is 408 square cm.