Question

Rectangle QRST has vertices located at Q(-9, -3), R(-1,-1), S(0,-5) and T(-8, -7). What is the length of side ST?
O A. 8.2 units
O B. 7.9 units
O C. 9.2 units
OD. 7.5 units

Answer 1

Answer:

$\huge\boxed{\sf |ST| = 8.2 \ units}$

Step-by-step explanation:

S = (x1,y1) = (0,-5)

T = (x2,y2) = (-8,-7)

Using distance formula to find the length of ST.

$|ST|= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\\|ST| = \sqrt{(-8-0)^2+(-7-(-5))^2} \\\\|ST| = \sqrt{(-8)^2+(-7+5)^2} \\\\|ST| = \sqrt{64+(2)^2}\\\\|ST| = \sqrt{64+4} \\\\|ST| = \sqrt{68} \\\\|ST| = 8.2 \ units\\\\\rule[225]{225}{2}$