Question

Point upper A has coordinates left parenthesis negative 3 comma negative 2 right parenthesis. Point upper B has coordinates left parenthesis 4 comma negative 2 right parenthesis. Point upper C has coordinates left parenthesis 4 comma 1 right parenthesis. Point upper D has coordinates left parenthesis negative 3 comma 1 right parenthesis.


Determine the coordinates of rectangle ABCD
𝐴
𝐵
𝐶
𝐷
. Use the coordinates to compute the area of the rectangle.

Answer 1

The vertices are
A = (−3, −2), B = (4, −2), C = (4, 1), D = (−3, 1).

Side lengths: AB = |4 − (−3)| = 7, BC = |1 − (−2)| = 3.
Area = base × height = 7 × 3 = 21 square units.