In a rectangle `A B C D ,\ \ A B=20 c m` , `/_B A C=60o` . Calculate side `B C` .

A paper is in the form of a rectangle A B C D in which A B=20\ c m and B C=14\ c mdot A semicircular portion with B C as diameter is cut off. Find the area of the remaining part.

The diagonals of a rectangle A B C D\ meet at O . If /_B O C=44^0, find /_O A D

If A B C and DEF are two triangles such that A B C ~= F D E a n d A B=5c m , /_B=40^0 a n d /_A=80^0dot Then, which of the following is true? D F=5c m , /_F=60^0 (b) D E=5c m , /_E=60^0 D F=5 c m , /_E=60^0 (d) D E=5c m , /_D=40^0

In a A B C , A D is the bisector of /_A , meeting side B C at D . If A B=10 c m , A C=14 c m and B C=6c m , find B D and D C (ii) If A C=4. 2 c m , D C=6c m and B C=10 c m , find A B . (iii) If A B=5. 6 c m , A C=6c m and D C=3c m , find B C .

In a A B C , A D is the bisector of /_A , meeting side B C at D . If B D=2. 5 c m , A B=5c m and A C=4. 2 c m , find D C . (ii) If B D=2c m , A B=5c m and D C=3c m , find A C . (iii) If A B=3. 5 c m , A C=4. 2 c m and D C=2. 8 c m , find B D .

In a A B C , A D is the bisector of /_A , meeting side B C at D . If A D=5. 6 c m , B C=6c m and B D=3. 2 c m , find A C . (ii) If A B=10 c m , A C=6c m and B C=12 c m , find B D and D C .

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

If A B C D is a rectangle with /_B A C=32^0, find the measure of /_D B C

A point O inside a rectangle A B C D is joined to the vertices. Prove that the sum of the areas of a pair of opposite triangles so formed is equal to the sum of the other pair of triangles. Given: A rectangle A B C D\ a n d\ O is a point inside it. O A ,\ O B ,\ O C\ a n d\ O D have been joined. To Prove: a r\ (A O D)+\ a r\ ( B O C)=\ a r\ ( A O B)+\ a r( C O D)

In Fig. 15.82, A B C D is a rectangle, having A B=20\ c m and B C=14\ c m . Two sectors of 180o have been cut off. Calculate: (i) the area of the shaded region. (FIGURE) (ii) the length of the boundary of the shaded region.