Question

In the given figure ABCD and ABFE are parallelograms such that ar(quad. EABC) = 17 cm² and ar(||gm ABCD) = 25 cm². Then, ar(∆BCF) = ?
(a) 4 cm²
(b) 4.8 cm²
(c) 6 cm²
(d) 8 cm²

Answer 1

(d) 8 cm²

Since ||gm ABCD and ||gm ABFE are on the same base and between the same parallel lines, we have:
ar(||gm ABFE​) = ar(||gm ABCD​) = 25 cm²
⇒ ar(∆BCF ) = ar(||gm ABFE​)​ $-$ ar(quad EABC​)​ = ( 25 $-$ 17) = 8 cm²