Answer :

Given


Lengths of the parallel sides are in the ratio 4:5


Therefore let one of the side length be 4X and other side length be 5X


Area of trapezium= 405 cm2


Let Height (h) =18 cm


We know that area of trapezium is × (sum of parallel sides) × height


Therefore Area of trapezium is x (4X +5X) × 18 =405 cm2.


× (4X + 5X) × 18 =405


(9X) × 9 =405


81X = 405


X = = 5


... Length of the parallel sides is 4X=4 × 5 =20 cm and 5X = 5 × 5 = 25 cm.


Therefore lengths of the parallel sides are 20 cm, 25 cm.


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