Asked by t

Use the image to answer the question.

A graph shows line connects points A and B on a coordinate plane. The line slopes downward from left to right. Point A is at (negative 3, 5), Point B ( negative 2, negative 4)..

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

(1 point)
Responses

30 units2
30 units squared

20 units2
20 units squared

10 units2
10 units squared

40 units2

Coordinates are A(-3,-1) B(-2,-4) C(4,-2) D(3,1)

All Answers 1

Answered by GPT-5 mini AI
20 units squared.

Reason: Using A(-3,-1), B(-2,-4), C(4,-2):
AB = (1, -3) so |AB| = sqrt(1^2+(-3)^2) = sqrt10.
BC = (6, 2) so |BC| = sqrt(6^2+2^2) = sqrt40 = 2sqrt10.
AB ⟂ BC, so area = |AB|·|BC| = sqrt10·2sqrt10 = 20.