In the above figure if area of triangle ABC is 64 sq units then find the area of triangle PQR where ...........

Quantitative Aptitude ( CCS) Geometry

In the above figure, if area of triangle ABC is 64 sq. units, then find the area of triangle PQR, where D, E and F are mid points of sides of ΔABC and P, Q and R are midpoints of sides of ΔDEF.

4 sq units

6 sq units

8 sq units

16 sq units

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Explanation:

Given that,
D, E and F are midpoints of BC, CA and AB and P, Q and R are midpoints of EF, FD and DE
we know that,
Area of ΔABC = 4 ΔDEF
But area of ABC = 64 sq. cm.4 ΔDEF = 64
⇒ ΔDEF = 64/4
= 16 sq. units
And area ΔDEF = 4 ΔPQR
⇒ 4 ΔPQR = 16 = 16/4
= 4 sq. units.