In the figure given below, AC is parallel to ED and AB = DE = 5 cm and BC = 7 cm. What is the area ABDE : area BDE : area BCD equal to?

  1. 10 : 5 : 7
  2. 8 : 4 : 7
  3. 2 : 1 : 2
  4. 8 : 4 : 5

Answer

As AB is parallel to ED and AB = ED, ABDE is a parallelogram.

Area ABDE = 5h

Area BDE = 5h/2

Area BCD = 7h/2

area ABDE : area BDE : area BCD = 5h : 5h/2 : 7h/2

area ABDE : area BDE : area BCD = 10 : 5 : 7

The correct option is A.

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