The perimeter of the kite WXYZ is 33.94 square units
Step-by-step explanation:
Step 1; First we plot the points W, X, Y, Z on the graph. We need to find the distance between the opposite sides i.e W and Y, X and Z. To find the distance between W and Y, X and Z we use the formula
Distance = √ (x2 - x1)² + (y2 - y1)².
So for W (-3, 3) and Y (4, -4) where W is (x1, y1) and Y is (x2, y2).
Distance = √(4 - (-3))² + (-4 -3)² = √49 + 49 = √98 = 9.899.
Distance between X (2, 3) and Z (-3, -2) where X is (x1, y1) and Z is (x2, y2).
Distance = √(-3 -2)² + (-2 -3)² = √25 + 25 = √50 = 7.071.
Step 2; The parameter of a kite is given by 2 times the sum of the two distances between opposite sides.
Parameter = 2 × (9.899 + 7.071) = 2 × 16.97 = 33.94 square units.
