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naria wants to build a perimeter wall fence around 400 sqm lot the frontage of the lot is 20 meters the wall height is 1 2

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Naria Wants to build a perimeter wall fence around 400 sqm lot. The frontage of the lot is 20 meters. The wall height is 1.2 meters below the ground and 3.8 meters above the ground . The cost of constructing the wall is 750 per square meter. Additionally,she plans to install a 5-meter-wide gate that costs ₱50,000. How much Maria spend in total for the wall and the gate a. Php 281,250.00 b. Php 106,250.00 c. Php 331,250.00 d. Php 218,250.00

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Answer to a math question Naria Wants to build a perimeter wall fence around 400 sqm lot. The frontage of the lot is 20 meters. The wall height is 1.2 meters below the ground and 3.8 meters above the ground . The cost of constructing the wall is 750 per square meter. Additionally,she plans to install a 5-meter-wide gate that costs ₱50,000. How much Maria spend in total for the wall and the gate a. Php 281,250.00 b. Php 106,250.00 c. Php 331,250.00 d. Php 218,250.00

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109 Answers

1. Determine the dimensions of the lot. Given the frontage is 20 meters, calculate the other side using the area:

\text{Area} = 20 \times x = 400

x = \frac{400}{20} = 20 \, \text{meters}

2. Calculate the perimeter of the lot:

\text{Perimeter} = 2 \times (20 + 20) = 80 \, \text{meters}

3. Calculate the total height of the wall:

\text{Total height} = 1.2 + 3.8 = 5 \, \text{meters}

4. Calculate the wall area excluding the gate:

\text{Wall area} = (\text{Perimeter} - \text{Gate width}) \times \text{Total height}

\text{Wall area} = (80 - 5) \times 5 = 75 \times 5 = 375 \, \text{sqm}

5. Calculate the cost of the wall:

\text{Wall cost} = 375 \times 750 = 281,250 \, \text{PHP}

6. Calculate total cost including the gate:

\text{Total cost} = \text{Wall cost} + \text{Gate cost}

\text{Total cost} = 281,250 + 50,000 = 331,250 \, \text{PHP}

7. Therefore, the total cost is:

\text{Php} \, 331,250.00

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