Question

a 5100 sq.cm in trapezium has the perpendicular distance between the two parallel sides is 60 cm. if one of the parallel sides be 40 cm then, find the length of the other parallel side.​

Answer 1

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

Let the length of the unknown parallel side be 'x' cm.

Area of the trapezium

$\rm=\dfrac{1}{2}(40+x)×60$

⇒$\rm{5100=\dfrac{1}{2}(40+x)×60}$

⇒$\rm{170=40+x}$

⇒$\rm{x=170-40=130cm}$