For perimeter, find the of the semi-circle and add it to three lengths of the rectangle (one side of the rectangle is not exposed because of the semi circle).
P = πd/2 + 4 + 4 + 4
= π(4)/2 + 4 + 4 + 4
= 12.56/2 + 4 + 4 + 4
= 6.28 + 4 + 4 + 4
= 18.28in
Therefore, the perimeter is 18.28in.
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For area, calculate the areas of both shapes separately then add them together.
A1 = πr^2
= π(2)^2
= π(4)
= 12.56in2
A2 = lw
= (4)(4)
= 16in2
A = A1 + A2
= 12.56 + 16
= 28.56in2
Therefore, the area is 28.56in2 (inches squared).