Question

the two parallel of the trapezium are 21cm 19 cm and the distance between them is 11cm . find the area of trapezium

Answer 1

Given:-

• First parallel side of trapezium = 21cm

• Second parallel side of trapezium = 19cm

• Distance between parallel sides = 11cm

To find:-

• Area of Trapezium

Formula Used:-

• ${\boxed{\bf{Area\: of\: Trapezium \:= \dfrac{1}{2}\times [Sum\:of\: Parallel\:Sides]\times Height}}}$

Solution:-

Using Formula,

$\sf \implies\:Area\: of\: Trapezium \:= \dfrac{1}{2}\times [Sum\:of\: Parallel\:Sides]\times Height$

Putting values,

$\sf \implies\:Area\: of\: Trapezium \:= \dfrac{1}{2}\times [20+19]\times 11$

$\sf \implies\:Area\: of\: Trapezium \:= \dfrac{1}{2}\times 39\times 11$

$\sf \implies\:Area\: of\: Trapezium \:= \dfrac{1}{2}\times 429$

$\sf \implies\:Area\: of\: Trapezium \:= 214.5 \:cm^2$

Hence, The Area of Trapezium is 214.5cm².

━━━━━━━━━━━━━━━━━━━━━━━━━