Question

The parallel sides of a trapezium are 50 cm and 26 its non parallel sides are equal each being 13 cm find the area of the trapezium​

Answer 1

Given :

• One parallel side of trapezium = 50 cm.

• Another parallel side of trapezium = 26 cm.

• Distance between the parallel sides is 13 cm.

To find :

• Area of Trapezium =?

Formula Used :

• Area of a trapezium = 1/2 × sum of its parallel sides × Distance between them

Step-by-step explanation :

We know that,

Area of a trapezium = 1/2 × sum of its parallel sides × Distance between them

Substituting the values in the above formula, we get,

= 1/2 × (50 + 26) × 13

= 1/2 × 76 × 13

= 38 × 13

= 494.

Therefore, Area of Trapezium = 494 cm².

Answer 2

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\:\:$

$\green{\underline \bold{Given :}}$

$\:\:$

• Parallel sides are of length 50 cm & 26 cm.

• Non parallel side are equal each measuring 13 cm.

$\:\:$

$\red{\underline \bold{To \: Find:}}$

$\:\:$

• The area of trapezium.

$\:\:$

$\large{\orange{\underline{\tt{Solution :-}}}}$

$\:\:$

We know that ,

$\:\:$

$\underline{\bold{\texttt{Area of trapezium :}}}$

$\:\:$

$\purple{\longrightarrow}\sf \dfrac { 1} { 2} (Sum \: of \: parallel \: sides) × ( Distance \: between \: them)$

$\:\:$

$\sf \longmapsto \dfrac { 1} { 2} (50 + 26) × ( 13 )$

$\:\:$

$\sf \longmapsto 38 \times 13$

$\:\:$

$\sf \longmapsto 496 \: sq \: cm$

$\:\:$

Hence area of trapezium is 496 sq. cm.

$\rule{200}5$