Question

the area of of trapezium is 34 cm^2 and the length of one of the parallel sides is 10 cm and its height is 4 cm. find the length of the Other parallel side.​

Answer 1

$\sf\boxed{\underline{\huge{\rm{Solution:}}}}$

$\rm\bold{Let\:x\:be\: the\: length\:of\:other\: parallel\:side.}$

$\rm\red{Area\:of\:trapezium}\\</p><p>\:\:\:\:\rm=\dfrac{1}{2}×(Sum\:of\:||\:sides) × Height$

$\rm\:\:\:\:=\dfrac{1}{2}×(10+x)×4$

$\rm\implies{34=\dfrac{4}{2}×(10+x)}$

$\rm\implies{10+x=\dfrac{34×2}{4}=17}$

$\rm\implies{x=17-10=7.}$

$\sf\red{∴\:the\:length\:of\:the\:other\:||\:side\:is\:7\:cm.}$