Note: This is the Solution of review exercise 7.3 from newly published book by PCTB (Punjab Curriculum and Textbook Board, Pakistan) for new 9th session 2025 Onward.
Exercise 7.3
Question # 01: If the houses of two friends are represented by coordinates \(\small{(2,6)}\) and \(\small{(9,12)}\) on a grid. Find the straight line distance between their houses if the grid units represent kilometers?
Question # 02: Consider a straight trail (represented by coordinate plane) thtat starts at point \(\small{(5,7)}\) and ends at point \(\small{(15,3)}\). What is the coordinate of the midpoint.
Question # 03: An architect is designing a park with two building located at \(\small{(10,8)}\) and \(\small{(4,3)}\) on the grid. Calculate the straight-line distance between the buildings. Assume the coordinate are in meters.
Question # 04: A delivery driver needs to calculate the distance between two delivery locations. One locations is at \(\small{(7,2)}\) and the other \(\small{(12,10)}\) on the grid map, where each unit represents kilometers. What is the distance between the two locations?
Question # 05: The start and end ponts of a race track are given by coordinates \(\small{(3,9)}\) and \(\small{(9,13)}\). What is the midpoint of the track.
Question # 06: The coordinate of two points on a raod are \(\small{A(3,4)}\) and \(\small{B(7,10)}\). Fin the midpoint of the road.
Question # 07: A ship is navigating from port \(\small{A}\) located at \(\small{(12^\circ\ N, 65^\circ\ W)}\) to port \(\small{B}\) at \(\small{(20^\circ\ N, 45^\circ\ W)}\). If the ship travels along the shortest path on the surface of the Earth, calculate the straight line distance between the points.
Question # 08: Farah is fencing around a rectangular at \(\small{(0, 0)}\),\(\small{(0, 5)}\), \(\small{(8, 5)}\) and \(\small{(8, 0)}\). How much fencing material will she need to cover the entire perimeter of the field?
Question # 09: An airplane is flying from city \(\small{X}\) at \(\small{(40^\circ\ N, 100^\circ\ W)}\) to city \(\small{Y}\) at \(\small{(50^\circ\ N, 80^\circ\ W)}\). Use coordinate geometry, calculate the shortest distance between these two cities.
Question # 10: A land surveyor is marking out a rectangular plot of land with corners at \(\small{(3, 1)}\),\(\small{(3, 6)}\), \(\small{(8, 6)}\) and \(\small{(8, 1)}\). Calulate the perimeter.
Question # 11: A landscape needs to install a fence around a rectangular garden. The garden has its corners at the coordinates: \(\small{A(0, 0)}\),\(\small{B(5, 0)}\), \(\small{C(5, 3)}\) and \(\small{D(0, 3)}\). How much fendcing is required?
