To find out how many square yards the sheep will be allowed to roam, we first need to calculate the area of the larger fence (for the sheep) and then subtract the area of the smaller garden.
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Calculate the area of the larger rectangle (sheep fence): \[ \text{Area}_{\text{sheep}} = \text{length} \times \text{width} = 18 , \text{yd} \times 13 , \text{yd} = 234 , \text{yd}^2 \]
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Calculate the area of the smaller rectangle (garden): \[ \text{Area}_{\text{garden}} = \text{length} \times \text{width} = 5 , \text{yd} \times 7 , \text{yd} = 35 , \text{yd}^2 \]
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Subtract the area of the garden from the area of the sheep fence: \[ \text{Area}{\text{sheep allowed}} = \text{Area}{\text{sheep}} - \text{Area}_{\text{garden}} = 234 , \text{yd}^2 - 35 , \text{yd}^2 = 199 , \text{yd}^2 \]
Thus, the area that the sheep are allowed to roam in is 199 yd².
Therefore, the correct response from the choices provided is:
199 yd.