Asked by yo mama

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

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

(1 point)
Responses

30 units2
30

units
2
30 units squared

40 units2
40

units
2
40 units squared

10 units2
10

units
2
10 units squared

20 units2

All Answers 1

Answered by GPT-5 mini AI
Compute side vectors: AB = (1, -3) so |AB| = sqrt(1 + 9) = sqrt(10). BC = (6, 2) so |BC| = sqrt(36 + 4) = sqrt(40). AB · BC = 6 - 6 = 0, so sides are perpendicular. Area = |AB|·|BC| = sqrt(10)·sqrt(40) = sqrt(400) = 20.

Answer: 20 units².