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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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
Eliseo
4.6110 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
2. Calculate the perimeter of the lot:
3. Calculate the total height of the wall:
4. Calculate the wall area excluding the gate:
5. Calculate the cost of the wall:
6. Calculate total cost including the gate:
7. Therefore, the total cost is:
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