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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2mm+n

mm+3n

m2m+3n

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

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