Question

TO
1. Find the area of the trapezium if the :
(1) parallel sides are 3 cm and 6 cm and perp.
distance between them is 10 cm.​

Answer 1

$\huge\mathbb{SOLUTION:-}$

$\bold{Given:-}\begin{cases}\sf{parallel\: sides\:of\: trapezium}\\ \sf{3 cm\:and\:\:6cm}\\ \sf{Height=10cm}\end{cases}$

• The distance between parallel sides of trapezium is equal to the height

• So the height will be 10 cm

$\bf\underline{\underline{Step\:By\:step\: Explanation:-}}$

$\boxed{\sf{\star{Area\:of\: trapezium=\frac{1}{2}\times (sum\:of\: parallel\:sides)\times height}}}$

• Now the area of trapezium

$\sf\implies Area\:of\: trapezium=\frac{1}{\cancel2}\times (3+6)\times \cancel{10}\\ \\ \sf\implies Area\:of\: trapezium=9\times 5\\ \\ \sf\implies Area\:of\: trapezium=45cm{}^{2}$

$\boxed{\sf{\star{Area\:of\: trapezium=45cm{}^{2}}}}$