Jigsaw Piece

Use exclusion. area of "rectangle" - area of empty region = 24-4=20 :}

Easy. It's:

$A = \int_0^2 4 dx + \int_2^4 2 dx + \int_4^6 4 dx$

$= 4(2-0) + 2(4-2) + 4(6-4)$

$= 8+4+8 = \boxed{20}$

total area=6x4 = 24 cut portion=2x2=4 then answer =24-4 =20

one can break the figure into five different squares and area of each square is 2^2 i.e. 4. Since there are five similar squares therefore one can get the solution by just multiplying 4 by 5 which equals 20

find the area of rectangle - area of square 6x4=24- 2x2=4 24-4=20