Question

parallel sides of trapezium are 16 cm and 14 cm and the distance between the parallel sides is 8 cm then its area is dash​

Answer 1

Given:

• Parallel sides of trapezium are 16cm and 14cm
• Distance between the parallel sides is 8cm

To Find:

• Area of trapezium?

Solution:

We have given that parallel sides of trapezium are 16cm and 14cm respectively and height of trapezium is 8cm.

We know that:

• $\large{\boxed{\bf{Area~of~trapezium~=~\dfrac{sum~of~parallel~sides×height}{2}}}}$

Therefore,

$\large{\bf{Area\:of\: trapezium\:=\:\dfrac{sum~of~parallel~side×height}{2}}}$

$\implies\large{\bf{Area~of~trapezium~=~\dfrac{(16+14)×8}{2}}}$

$\implies\large{\bf{Area~of~trapezium~=~\dfrac{30×8}{2}}}$

$\implies\large{\bf{Area~of~trapezium~=~\dfrac{240}{2}}}$

$\implies\large{\bf{Area~of~trapezium~=~{\cancel{\dfrac{240}{2}}}}}$

$\implies\large{\bf{Area~of~trapezium~=~120}}$

Hence,

• $\large{\boxed{\frak{Area~of~trapezium~=~120cm²}}}$

____________

Note: View answer from web for proper view