Tiling Almost Squares

An "almost square" is a rectangle with sides which are consecutive integers. Almost squares 1 x 2, 2 x 3, 3 x 4, . . . n x (n+1) can be tiled inside another almost square when n=1, 3, 8, and 20, as the pictures below show. Can it be done for n=34?


n=1


n=3

n=8

n=20

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