Question

find the distance between the parallel sides

Answer 1

$\huge \purple{ \underline{ \bf\: answer}} \\ \dashrightarrow \green{ \boxed{ \bf\: d \: = \: 24cm}} \\ \\ \large \orange{ \underline{ \underline{ \bf \: step \: . \: by \: . \: step \: . \: explanation}}}$

$\\ \large\orange{ \underline{ \bf \: given : - }} \\ \bullet \: \: \tt{area \: \: of \: \: trapezium \: = \: 744cm {}^{2} } \\ \tt \bullet \: length \: of \: parallel \:sides \:are : - \\ \: \: \: \: \: \: \tt\: 23cm \: and \: 39cm.\\ \\ \large \blue{ \underline{ \bf \: formula \: of \: area \: of \: trapezium : - }}$

$\small \blue{ \boxed{ \bf \: area \: of \: trapezium \: = \frac{1}{2} \: \times sum \: of\: parallel \: sides \: \times \: distance\: between \: them }}\\ \\ \tt \implies{744 = \frac{1}{2} \times (23 + 39) \: \times \: d}$

$\\ \\ \tt\implies{744 = \frac{1}{2} \times 62 \times \: d } \\ \\ \tt \implies{744 = 31d } \\ \\ \tt \: \: \: \: \: \: \: \: \: \therefore \orange{ \boxed{ \bf \star \: d \: = 24 \: cm}}$