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

`\huge\boxedST`

Explanation:

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

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

Using distance formula to find the length of ST.

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