Math chapter 7

Question

In the Cartesian plane below, mark the following four points. The coordinates of points P and Q are (6,4) and (-5,4). Point R is located 5 units to the left of y-axis and 4 unit below the x-axis. Point S is located on the y-axis with a distance of 4 units below the x-axis. Calculate the perimeter of quadrilateral PQRS.

P(-6,3), Q(-3,1), R (2,1) and S are four vertices of a parallelogram.

(a) Find the possible coordinates of vertex S.

(b) Calculate the area of the parallelogram.

Answer 1

Question 1:

Question 2

a) possible coordinates of S:

     S1 (-1, 3) and S2 (5,-1) as shown above

b) area = height x base

             = 2 x 5 = 10 unit²