Consider a point Am,n, where m and n are positive integers.B is the reflection of A in the line y=x,C is the reflection of B in the y-axis, D is the reflection of C in the x-axis and E is the reflection of D in the y-axis. The area of the pentagon ABCDE is
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a
2mm+n
b
mm+3n
c
m2m+3n
d
2mm+3n
answer is B.
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Detailed Solution
Area of rectangle BCDE=4mnArea of ΔABC=2mm−n2=m2−mn∴ Area of pentagon ABCDE=4mn+m2−mn =m2+3mn