Question

Sharonda is plotting quadrilateral PQRS on the graph below. She will plot the fourth and
final vertex, S, at (9,5). What will be the length of side PS?

Answer 1

Answer:

11 units

Step-by-step explanation:

Length of side PS can be calculated using the distance formula, $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Where,

$P(-2, 5) = (x_1, y_1)$ (the coordinate of P is gotten from the graph)

$S(9, 5) = (x_2, y_2)$ (given)

$PS = \sqrt{(9 - (-2))^2 + (5 - 5)^2}$

$PS = \sqrt{(11)^2 + (0)^2}$

$PS = \sqrt{121} = 11 units$