Question

area of trapezium whose one parallel side is 20 and height =8 and other parallel side is joined with other trapezium with height 10cm and one parallel side =15cm.

Answer 1

Let the common ration be x, 
Then the two parallel sides are 3x, 2x 
Distance between them = 10 cm
Area of trapezium = 325 cm²
Area of trapezium = 1/2 (p₁ + p₂) h
325 = 1/2 (3x + 2x) 10
⇒ 325 = 5x × 5 
⇒ 325 = 25x
⇒ x = 325/25
Therefore, 3x = 3 × 13 = 39 and 2x = 2 × 13 = 26 

Therefore, the length of parallel sides area are 26 cm and 39 cm.