Question

Find the difference between the two parallel sides of a trapezium if its area is 12

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.