Unit 7: Coordinate Geometry — Exercise 7 3

7.3.1.If the houses of two friends are represented by coordinates (2, 6) and (9, 12) on a grid. Find the straight line distance between their houses if the grid units represent kilometres?

7.3.2.Consider a straight trail (represented by coordinate plane) that starts at point (5, 7) and ends at point (15, 3). What is the coordinate of the midpoint?

7.3.3.An architect is designing a park with two buildings located at (10, 8) and (4, 3) on the grid. Calculate the straight-line distance between the buildings. Assume the coordinates are in meters.

7.3.4.A delivery driver needs to calculate the distance between two delivery locations. One location is at (7, 2) and the other at (12, 10) on the city grid map, where each unit represents kilometres. What is the distance between the two locations?

7.3.5.The start and end points of a race track are given by coordinates (3, 9) and (9, 13). What is the midpoint of the track.

7.3.6.The coordinates of two points on a road are A(3, 4) and B(7, 10). Find the midpoint of the road.

7.3.7.A ship is navigating from port A located at (12° N, 65° W) to port B at (20° N, 45° W). If the ship travels along the shortest path on the surface of the Earth, calculate the straight line distance between the points.

7.3.8.Farah is fencing around a rectangular field with corners at (0,0), (0,5), (8, 5) and (8, 0). How much fencing material will she need to cover the entire perimeter of the field?

7.3.9.An airplane is flying from city X at (40° N, 100° W) to city Y at (50° N, 80° W). Use coordinate geometry, calculate the shortest distance between these two cities.

7.3.10.A land surveyor is marking out a rectangular plot of land with corners at (3, 1), (3, 6), (8, 6), and (8, 1). Calculate the perimeter.

7.3.11.A landscaper needs to install a fence around a rectangular garden. The garden has its corners at the coordinates: A(0, 0), B(5, 0), C(5, 3), and D(0, 3). How much fencing is required?