Question

10. The perimeter of an isosceles trapezium is 134 cm and the bases are 54 cm
and 30 cm in length. Find the length of the nonparallel sides of the trapezium
and its area.​

Answer 1

$\huge\mathtt{\fbox{\red{Answer✍︎}}}$

perimeter of trapezium=134cm

let the trapezium be ABCD in which AB and CD are parallel sides and AD and BC are non parallel sides.

then AB=54cm and CD=30cm

AD=BC

perimeter of trapezium=134cm

AB+BC+CD+AD=134

AD+AD+54+30=134

2AD=50

AD=25cm

Hence non parallel sides which are of equal length =25cm