Question

find the sum of the parallel sides of a trapezium whose area is 154 cm sq and height is 7 cm​

Answer 1

$ℌ \: \: \: \: \:$

➢ᴍᴀᴋᴇ ᴍᴇ ʙʀᴀɪɴɪsᴛ ᴀɴs ɪғ ʏᴏᴜ ɢᴇᴛ ʜᴇʟᴘ᭄

$Area \: of \: trapezium = </p><p></p><p>\frac{a + b}{2} ×h</p><p></p><p>$

$⇒  4.2= \frac{a + b}{2} ×280$

$⇒  \frac{8.4}{280} =a+b$

$⇒  a+b=0.03cm \\ =(0.03×100) \\ m=3m$

Answer 2

$\mathfrak{ \large{ \purple{ \underline{ \green{Correct \: Question: }}}}}$

find the sum of the parallel sides of a trapezium whose area is 154 cm² and height is 7 cm

$\mathfrak{ \large{ \purple{ \underline{ \green{ Given: }}}}}$

• Area of trapezium = 154 cm²
• Height of trapezium = 7 cm

$\mathfrak{ \large{ \purple{ \underline{ \green{ To \: Find: }}}}}$

• Sum of parallel sides of trapezium

$\mathfrak{ \large{ \purple{ \underline{ \green{ Solution: }}}}}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \mathfrak{ \underline{\pink{ Formula \: to \: calculate \: the \: area \: of \: trapezium}}}$

$\boxed{ \boxed{ \large{ \mathfrak{ \red{area = \frac{sum \: of \: parallel \: sides}{2} \times height}}}}}$

According to question,

$\large{ \sf \longmapsto \: \: \: \: \: \: \frac{sum \: of \: parallel \: sides}{2} \times 7 = 154}$

$\large{ \sf \longmapsto \: \: \: \: \: \: sum \: of \: parallel \: sides = \frac{154 \times 2}{7}}$

$\large{ \sf \longmapsto \: \: \: \: \: \: sum \: of \: parallel \: sides = 22 \times 2}$

$\large{ \sf \longmapsto \: \: \: \: \: \: sum \: of \: parallel \: sides = 44}$

$\mathfrak{ \large{ \purple{ \underline{ \green{Hence:}}}}}$

The sum of parallel sides of trapezium is 44