In the given figure ABCD and ABFE are parallelograms such that ar(quad. EABC) = 17cm² and ar(‖gm ABCD) = 25cm². Than, ar(∆BCF) = ?

Given: ar(quad. EABC) = 17cm² and ar(‖gm ABCD) = 25cm²

We know that any two or parallelogram having the same base and lying between the same parallel lines are equal in area.

∴ Area (‖gm ABCD) = Area (||gm ABFE) = 25cm²

Here,

Area (||gm ABFE) = Area (quad. EABC) + Area (∆BCF)

25cm² = 17cm² + Area (∆BCF)

Area (∆BCF) = 25 – 17 = 8cm²

∴ Area (∆BCF) = 8cm²