the three vertices of rectangle ABCD are A(2, 1) , B(6, 1) , C(6, 4).Find the coordinates of D?

Length AB = (6 - 2) units = 4 units.

Width BC = (4 - 1) units = 3 units.


Let D = (xd,yd).


Hence:

---> Length CD: 6 - xd = 4 ---> xd = 6 - 4 = 2.

---> Width AD: yd - 1 = 3 ---> yd = 3 + 1 = 4.


Hence: D(2,4).

(2,4)

https://gyazo.com/47f06dc27bfbf5a55c2f0d9115bf5326

D (2 , 4)