Question

You would like to build a house close to the village of Euler. There is a beautiful town centre in the village, and the road you would like to build your house on begins right at the town square. The road follows an approximately
north east direction as you leave town and continues for 90 km. It passes right by a large shade tree located approximately 2 km east and 3 km north of the town square. There is a stretch of the road, between 3 km and 12
kom to the east of town which currently has no houses. This stretch of road is where you would like to locate your house Builóing restrictions require all houses sit parallel to the road. All water supplies are linked to town wels and the closest well to this part of the road is 5 km east and 12 km north of the town centre.
1. How far from the well would it be if the house was located on the road 3 km east of town? 5 kan east of town! 10 km east of town! 12 km east of town? (For the sake of calculations, do not consider how far the
house is from the road, just use the road to make calculations)
2. The cost of the piping leading from the well to the house is a major concern. Where should you locate your house in order to have the shortest distance to the well? Justify your answer mathematically.
3. the cost of laying pipes is Rs 250 per linear km, how much will it cost to connect your house to the well?
4 The bodder of your house is impressed by your calculations and wants to use the same method for placing orher houses. Describe the method you used Would you want him to place the other houses in the same
manger?
5. Describe what the house, the road and the shortest distance represent mathematically. Describe your method mathematically
6. Write a formula that the builder could use to find the cost of laying pipes to any house along this road. How would you have to change your formula for another road!​

Answer 1

Answer:

it cost to connect your house to the well?

4 The bodder of your house is impressed by your calculations and wants to use the same method for placing orher houses. Describe the method you used Would you want him to place the other houses in the same

manger?

5. Describe