Author: Benny Varghese  PGT Maths

b

h

 presentation.....Area of Parallelogram

Drag the point P to get 
different cases of  parallelograms...

Make use of the point Move above
for animation

Observe that Parallelogram with 
base b and height h 
becomes a rectangle with 
length b and breadth h

A

Bentech

Hence area of Parallelogram = bh

Prepared by :
Benny Varghese
PGT Mathematics
JNV Pathanamthitta

N = (1.92, 1.98)
B = (9.22, 1.9)
a = Line(N, B)
P = (0.14, -2.1)
bl = Line(P, a)
c = Line(N, P)
d = Line(B, c)
e = OrthogonalLine(N, bl)
f = OrthogonalLine(B, bl)
D = Intersect(e, bl)
E = Intersect(d, bl)
F = Intersect(f, bl)
α_1 = Angle(N, P, D)
H = Point(bl)
I = Point(bl)
u = Vector(H, I)
A' = Translate(N, u)
D' = Translate(D, u)
C' = Translate(P, u)
poly1', c', a', d' = Polygon(A', D', C')
g = Segment(B, F)
he = Segment(B, E)
J = (5.0600000000000005, 4.24)
i = Line(J, bl)
Move = Point(i)
poly1, a_1, α_2, f_1, b_1 = Polygon(N, P, F, B)
v = Vector(J, Move)
A'' = Translate(A', v)
D'' = Translate(D', v)
C'' = Translate(C', v)
poly1'', c'', a'', d'' = Polygon(A'', D'', C'')
poly2, a_2, d_1, e_1, b_2 = Polygon(N, D, E, B)
poly3, a_3, c_2, f_2, b_3 = Polygon(N, P, F, B)
C = Midpoint(N, B)
G = Midpoint(N, D)