Question

3.The area of a trapezium is 400 cm2
, the distance between the parallel sides is 16 cm. If one
of the parallel sides is 20 cm, find the length of the other side.

Answer 1

Given:

• The area of a trapezium is 400 cm² the distance between the parallel sides is 16 cm. If one of the parallel sides is 20 cm,

To Find:

• the length of the other side = ?

Solution:

We know that,

$\boxed{{\small \tt{{Area \: of \: Trapezium = \frac{1}{2} }(a + b) \times h}}}$

Putting the values:

$: \longrightarrow \: \: \rm{ 400 = \frac{1}{2} (20 + b) \times 16}$

$\space$

$\rm{: \longrightarrow \: \: \frac{400 \times 2}{16} = 20 + b}$

$\space$

$: \longrightarrow \: \: \rm{ 50 = 20 + b}$

$\space$

$: \longrightarrow \: \: \rm{b = 50 - 20}$

$\space$

$: \longrightarrow \: \bf{ \: \boxed{ \rm{ \pink{b = 30 \: cm}}}}$

Therefore, the required length = 30 cm.

$\\ {\underline{\rule{200pt}{5pt}}}$