Calculate the area of the pentagon `A B C D E` , where `A B=A E` and with dimensions as shown in Fig.36.

Calculate the area of the quadrilateral A B C D as shown in Fig.33, given that B D=42\ c m , A C=28\ c m , O D=12\ c m and A C_|_B D .

Calculate the area of quadrilateral field A B C D as shown in Fig.35, by dividing it into a rectangle and a triangle.

Let A,B,C,D,E represent vertices of a regular pentagon ABCDE . Given the position vector of these vertices be vec a, vec a+vec b,vec b,lambdavec a and lambdavec b respectively. If the area of the pentagon ABCDE is k|vec a timesvec b| then k is equal to

Find t if the area of the pentagon ABCDE be 45/2 where a=(1,3), B=(-2,5), C=(-3,-1) D=(0,-2) and E=(2,t).

Parallelogram A B C D and rectangle A B E F have the same base A B and also have equal areas. Show that the perimeter of the parallelogram is greater than that of the rectangle. GIVE : A ^(gm)A B C D and a rectangle A B E F with the same base A B and equal areas. TO PROVE : Perimeter of ^(gm)A B C D > P e r i m e t e rofr e c t a nge l ABEF i.e. A B+B C+C D+A D > A B+B E+E F+A F

In Fig. 4.178, D E B C (FIGURE) 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 .

Find the dimensions of (A X (B + C)D) where A is mass, dimension of B is unknown, C is energy and D is dimension less constant:

A,B and C are isodiaphers while C,D and E are isobars. Calculate the difference of protons between A and E ._(82)^(206) A to B to C to D to E Given: Isodiaphers and isobars are formed in successive alpha and beta- emission respectively.

Find the area of the pentagon whose vertices are A(1,1),B(7,21),C(7,-3),D(12 ,2), and E(0,-3)