If ` ΔA B C ∼ ΔD E F` such that area of ` ΔA B C` is `9\ c m^2` and the area of ` ΔD E F` is `16\ c m^2` and `B C=2. 1` cm. Find the length of `E F` .

If ΔA B C ∼ ΔD E F such that A B=5c m , area (Δ A B C)=20\ c m^2 and area (Δ D E F)=45\ c m^2 , determine D E .

If A B C ∼ D E F such that A B=1. 2 c m and D E=1. 4 c m . Find the ratio of areas of A B C and D E F .

If Delta A B C ~ Delta D E F such that B C=3c m , E F=4c m and a r( A B C)=54 c m^2 , then a r( D E F)=

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.

Triangles A B C and D E F are similar. If area ( A B C)=36\ c m^2 , area ( D E F)=64\ c m^2 and D E=6. 2 c m , find A Bdot (ii) If A B=1. 2 c m and D E=1. 4 c m , find the ratio of the areas of A B C and D E F .

In Figure, A B C D is a rectangle with sides A B=10 c m\ a n d\ A D=5c m . Find the area of /_\ E F G

A B C D is a square. F is the mid-point of A Bdot B E is one third of B C . If the area of F B E=108\ c m^2 , find the length of A C .

If A B C and D E F are similar triangles such that 2\ A B=D E and B C=8c m , then E F=

In Fig. 4.178, D E∥ B C (FIGURE) (i) If D E=4c m , B C=6c m and Area ( A D E)=16\ c m^2 , find the area of A B C . (ii) If D E=4c m , B C=8c m and Area ( A D E)=25\ c m^2 , find the area of A B C . (iii) If D E : B C=3:5 . Calculate the ratio of the areas of A D E and the trapezium B C E D .

A B C D E F is a regular hexagon with centre O ). If the area of triangle O A B is 9\ c m^2 , find the area of: (i) the hexagon and (ii) the circle in which the hexagon is inscribed.