Area of the given figure = 36 in square

The unknown side = opposite sides 6 in - 2 in = 4 in Extending 4 in sides to enclose the cutting portion, we get one bigger area of 7 in x 6 in = 42 in^2and a smaller area of 3 in x 2 in = 6 in^2The area of the given figure = bigger area - smaller area = 42 in^2 - 6 in^2 = 36 in^2 (ANS)Similarly the area can find out by :Extending 3 In side inside : ( 7 in x 4 in ) + (2 In x 4 in) = 36 in^2 Extending 2 In side inside : ( 6 in x 4 in ) + (3 In x 4 in) = 36 in^2Extending both 3 in and 2 In sides inside : ( 4 in x 4 in ) + (3 In x 4 in) + ( 2 in x 4 in) = 36 in^2