a
E
A
B
a
AB = BC = CD = DA = a + b
G F
H
Area of EBFG GHDI GICF AEGH
= = = =
a2
axa = b x b = b2 ab ab
b D
b
Area of ABCD = EBFG + GHDI + GICF + AEGH So, (a + b)2 = a2 + b2 + ab + ab = a2 + 2ab + b2
I
C
a (a – b)
A
B
a
(a – b)
E
Area of ABCD AEGD FCDH HOGD
= = = =
a x a = a2 ab b ab b x b = b2 D
O
F
H
b
G
Area of EBFO = ABCD - AEGD - FCDH + HOGD So, (a - b)(a - b) = a2 - ab - ab + b2 (a - b)2 = a2 - 2ab + b2
C
a (a – b)
A
B
a
(a – b)
H
F
E
b
Area of ABCD = a x a = a2 DEFG = b x b = b2
D
ABCD – DEFG = AEFG + BCGH a2 - b2 = a(a - b) + b(a - b) = (a - b)(a + b)
b
G
C
ACKNOWLEDGEMENTS Group :
Ronak Sahai Toorni Biswas Manan Garg Deepujwal Apoorv PPT BY RONAK SAHAI
SUGESTIONS GIVEN BY TOORNI BISWAS