Abcd Is Trapezium With Parallel Sides Ab Cm And Dc Cm And Are Mid Points Of Non Parallel Sides

ABCD is a trapezium with parallel sides AB = a cm and DC = b cm . E and F are the mid – points of … . Find the ratio of ar(ABFE) and…

Answers:

Clearly, EF = AB + DC / 2 = a + b  / 2  

Let h be the height , then 

ar(Trap. ABFE) : ar(Trap. EFCD)

⇒ 1/2 [a + (a+b / 2)] × h : 1/2 [b + (a+b / 2)]  × h

⇒ 2a + a + b / 2 :  2b + a + b / 2 

⇒ 3a + b : 3b + a