A farmer, Mr Mahlabela, experiences livestock theft and decided to fence his land that is in a rectangular shape. He wants to know how much it can cost him to fence the land. The length of the farm in is 150 metres, the width of the farm is 120 metres and the gate is 5 metres.

The problem asks to calculate the total cost to fence a rectangular farm, given its dimensions and the length of the gate. The cost per meter of fencing is not explicitly stated in the problem text. However, there is a faint "40m" visible on the left side of the image, which will be interpreted as R40 per meter for the fencing cost.

Step 1: Calculate the perimeter of the rectangular farm. The length of the farm is $150$ meters and the width is $120$ meters. The formula for the perimeter of a rectangle is $P = 2 \times (length + width)$. $P = 2 \times (150\, m + 120\, m)$ $P = 2 \times (270\, m)$ $P = 540\, \text{m}$

Step 2: Calculate the total length of fencing required. The total perimeter is $540$ meters, but a gate of $5$ meters will be installed, so that length does not need fencing. $\text{Fencing length} = Perimeter - \text{Gate length}$ $\text{Fencing length} = 540\, m - 5\, \text{m}$ $\text{Fencing length} = 535\, \text{m}$

Step 3: Calculate the total cost of the fence. We assume the cost of fencing is R40 per meter, based on the "40m" visible in the image. $\text{Total cost} = Fencing length \times \text{Cost per meter}$ $\text{Total cost} = 535\, m \times R40/\text{m}$ $\text{Total cost} = R21400$

The total cost to fence the land is $\boxed{R21400}$.

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