Question

Find the area of trapezium whose parallel sides are of length 3cm and 9cm, and the distance between the two parallel sides is 2.5cm​

Answer 1

Step-by-step explanation:

We know That,

$\mathcal\red {\boxed{Area \: of \: trapezium = \frac{1}{2} \times (Sum \: of \: parallel \: sides \: ) \times(Height \: between \: them)}}$

$‎ ‎ ‎‎ ‎ ‎ ‎ ‎‎ ‎ ‎ ‎ ‎ ‎‎ ‎ ‎ ‎ ‎ ‎‎ \mathcal\color{violet}{:\implies \frac{1}{2} \times (3 + 9) \times 2.5}$

$‎ ‎ ‎‎ ‎ ‎ ‎ ‎‎ ‎ ‎ ‎ ‎ ‎‎ ‎ ‎ ‎ ‎ ‎‎ \mathcal\color{lime}{:\implies \frac{1}{{\color{red}\cancel 2}} \times {\color{red}\cancel{12}}\times 2.5}$

$‎ ‎ ‎‎ ‎ ‎ ‎‎‎\mathcal\color{darkorange}:\implies{6 \times 2.5}$

$‎ ‎ ‎‎ ‎ ‎ ‎ ‎‎ ‎ ‎ ‎ ‎ ‎‎ ‎ ‎ ‎ ‎ ‎‎ \mathcal\color{black}{:\implies {15}}$

$\blue\therefore\large\mathcal\pink{\underline{\overline{\: Area \: of \: Trapezium \: is \: 15 cm^2}}}$