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:
![A=(a+b)/(2)h](https://img.qammunity.org/2022/formulas/mathematics/high-school/3z5ekqzpobvy6kkrwz5k38y4ei8l4s1l7b.png)
Where,
are parallel sides and
is the vertical distance between the parallel sides.
Putting
in the above formula, we get
![A=(28.7+22.3)/(2)*(16)](https://img.qammunity.org/2022/formulas/mathematics/high-school/svni623cvw5o902e0w7wshdd9bvo7km5no.png)
![A=(51)/(2)* 16](https://img.qammunity.org/2022/formulas/mathematics/high-school/rlenrjgcgrcdzhd7eo8rbkeqras5pmilaj.png)
![A=51* 8](https://img.qammunity.org/2022/formulas/mathematics/high-school/zerzj67yewvwqpb1t647vs14z0f94thn8d.png)
![A=408](https://img.qammunity.org/2022/formulas/mathematics/high-school/tlw6ur7ro07bguvto2eo7zcqoftdu2s0po.png)
Therefore, the area of the trapezium is 408 square cm.