Question

The area of a Trapezium is 984cm square if the parallel sides are 36 cm and 46 cm then the distance between the parallel sides is ​

Answer 1

Answer:

Hey friend, here is your answer.

Note: Height = Distance between parallel sides

I hope this will help you.

Answer 2

$\huge\mathbb{SOLUTION:-}$

$\sf\underline{\blue{\:\:\:\:Given\:\:\:\:}}$

$\sf \bullet Parallel\:sides\:of\: trapezium=36cm\:and\:46cm\\ \\ \sf \bullet Area\:of\: trapezium=984cm{}^{2}$

Now Area of trapezium

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

$\sf\underline{\pink{\:\:\:\:A.T.Q\:\:\:\:}}$

$\sf\implies 984=\dfrac{1}{2}\times (36+46)\times h\\ \\ \sf\implies 984\times 2= 82\times h \\ \\ \sf\implies \cancel{\dfrac{1968}{82}}=height\\ \\ \sf\implies 24=height$

$\boxed{\sf{\purple{Height\:of\: trapezium=24cm}}}$