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Perimeter of figure = 36.3

Step-by-step explanation:

We'll begin by calculating the perimeter of the rectangle. This can be obtained as follow:

Length (L) = 9

Width (W = 4

Perimeter of rectangle (Pᵣ) =?

Pᵣ = 2(L + W)

Pᵣ = 2(9 + 4)

Pᵣ = 2(13)

Pᵣ = 26

Next, we shall determine the perimeter of semi circle. This can be obtained as follow:

Diameter (d) = 4

Pi (π) = 3.14

Perimeter of semi circle (Pₛ) =?

Pₛ = ½(πd) + d

Pₛ = ½(3.14 × 4) + 4

Pₛ = ½(12.56) + 4

Pₛ = 6.28 + 4

Pₛ = 10.28

Finally, we shall determine the perimeter of the figure. This can be obtained as follow:

Perimeter of rectangle (Pᵣ) = 26

Perimeter of semi circle (Pₛ) = 10.28

Perimeter of figure =?

Perimeter of figure = Pᵣ + Pₛ

Perimeter of figure = 26 + 10.28

Perimeter of figure = 36.28 ≈ 36.3

graph b

step-by-step explanation:

one solution- graph a (clear intercepting point.)

no solution- graph b (they're parallel, there will never be a point of interception.)

infinite solutions- graph c (all points intercept.)