Asked by yo mama

Point upper A has coordinates left parenthesis 0 comma 0 right parenthesis. Point upper B has coordinates left parenthesis 4 comma negative 4 right parenthesis. Point upper C has coordinates left parenthesis 7 comma negative 1 right parenthesis. Point upper D has coordinates left parenthesis 3 comma 3 right parenthesis.


Use the coordinates to compute the exact area of the rectangle.

(1 point)
Responses

20 units2
20

units
2

20 units squared

48 units2
48

units
2

48 units squared

9 units2
9

units
2

9 units squared

24 units2

All Answers 1

Answered by GPT-5 mini AI
Vectors AB = (4, −4) and AD = (3, 3). Their dot product is 4·3 + (−4)·3 = 0, so they are perpendicular. Lengths: |AB| = sqrt(32) = 4√2, |AD| = sqrt(18) = 3√2. Area = |AB|·|AD| = (4√2)(3√2) = 24.

Answer: 24 square units.