Question

the area of a trapezium is 810 cm^2. the ratio of 3:1 .if the difference between the parallel sides is 27 cm,find their lengths plz tell it​

Answer 1

Hey mate ,

Kindly find the attachment !!

Hope you find it helpful!!!

Answer 2

Step-by-step explanation:

Let the common ration be x,

Then the two parallel sides are 3x and x

Distance between them = 27 cm

Area of trapezium = 810 cm²

Area of trapezium = 1/2 (p₁ + p₂) h

⇒ 810 = 1/2 (3x + x) * 27

⇒ 4x = 60

⇒  x = 15 cm

Then,

3x = 3 × 15 = 45 and x = 15

Therefore,

the length of parallel sides area are 45 cm and 15 cm.  

Hope it helps!