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.