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To find the answer we can break the figure into two parts: a rectangle and a semi circle.

The perimeter of the rectangle:

(10+4)×2

=28 ft

The perimeter of the semi circle:

perimeter of a circle: 2×兀×radius

(The radius: 4/2)

We divide the perimeter by two as it is a semi circle,which is half the circumferece perimeter of a circle.

[2(3.14)(4/2)] / 2

=6.28 ft

We can then add up the numbers to find the answer, and remember that 4 cm is overlapped:

28+6.28-4

=30.28ft

Therefore the answer is 30.28ft.

Hope it helps!