` A B C D E F` . If `B C=3c m` , `E F=4c m` and `a r( A B C)=54 c m^2` , then `a r( D E F)=` `108 c m^2` (b) `96 c m^2` (c) `48 c m^2` (d) `100 c m^2`

Medians of A B C intersect at G . If a r\ ( A B C)=27\ c m^2, then a r\ ( A B G C)= 6\ c m^2 (b) 9\ c m^2 (c) 12\ c m^2 (d) 18 c m^2

In a A B C if D\ a n d\ E are mid-points of B C\ a n d\ A D respectively such that a r\ ( A E C)=4\ c m^2 , then a r\ ( B E C)= 4\ c m^2 (b) 6\ c m^2 (c) 8\ c m^2 (d) 12 c m^2

A B C D is a parallelogram. P is any point on C Ddot If a r\ ( D P A)=15\ cm^2\ and a r\ ( A P C)=20 c m^2, then a r\ ( A P B)= (a) 15 c m^2 (b) 20 c m^2 (c) 35\ c m^2 (d) 30 c m^2

In a A B C ,\ D ,\ E ,\ F are the mi-points of sides B C ,\ C A\ a n d\ A B respectively. If a r( A B C)=16 c m^2, then a r\ (t r a p e z i u m\ F B C E)= 4\ c m^2 (b) 8\ c m^2 (c) 12 c m^2 (d) 10 c m^2

A B C D is a rectangle with O as any point in its interior. If a r ( A O D)=3 c m^2a n d a r ( B O C)=6 c m^2, then area of rectangle A B C D is: 9c m^2 (b) 12 c m^2 (c) 15 c m^2 (d) 18 c m^2

A B C D E F , a r( A B C)=9c m^2 , a r( D E F)=16 c m^2 . If B C=2. 1 c m , then the measure of E F is 2. 8 c m (b) 4. 2 c m (c) 2. 5 c m (d) 4. 1 c m

In Figure, A B C D\ a n d\ F E C G are parallelograms equal in area. If a r\ ( A Q E)=12 c m^2, then a r\ (^(gm)F G B Q)= 12\ c m^2 (b) 20\ c m^2 (c) 24\ c m^2 (d) 36\ c m^2

Let A B C D be a parallelogram and A B E F be a rectangle with E F lying along the line C D . If A B=7c m and B E=6. 5 c m , then the area of the parallelogram is 11. 375 c m^2 (b) 22. 75 c m^2 (c) 45 c m^2 (d) 45. 5 c m^2

If A B C D E F such that D E=3c m , E F=2c m , D F=2. 5 c m , B C=4c m , then perimeter of A B C is (a) 18cm (b) 20cm (c) 12cm (d) 15cm

Triangles A B C and D E F are similar. If area ( A B C)=16 c m^2 , area ( D E F)=25 c m^2 and B C=2. 3 c m , find E Fdot (ii) If area ( A B C)=9 c m^2 , area ( D E F)=64 c m^2 and D E=5. 1 c m , find A Bdot (iii) If A C=19 c m and D F=8c m , find the ratio of the area of two triangles.