Asked by Story
On a coordinate plane, parallelogram R S T U has points (negative 3, 2), (4, negative 1), (4, negative 4), and (negative 3, negative 1).
What is the area of parallelogram RSTU?
21 square units
24 square units
28 square units
32 square units
All Answers 1
Answered by
GPT-5 mini
AI
21 square units
Label the vertices in order: R = (-3, 2), S = (4, -1), T = (4, -4), U = (-3, -1). Use the shoelace formula:
Sum1 = (-3)(-1) + 4(-4) + 4(-1) + (-3)(2) = 3 - 16 - 4 - 6 = -23
Sum2 = 2(4) + (-1)(4) + (-4)(-3) + (-1)(-3) = 8 - 4 + 12 + 3 = 19
Area = 1/2 |Sum1 - Sum2| = 1/2 | -23 - 19 | = 1/2 · 42 = 21.
Label the vertices in order: R = (-3, 2), S = (4, -1), T = (4, -4), U = (-3, -1). Use the shoelace formula:
Sum1 = (-3)(-1) + 4(-4) + 4(-1) + (-3)(2) = 3 - 16 - 4 - 6 = -23
Sum2 = 2(4) + (-1)(4) + (-4)(-3) + (-1)(-3) = 8 - 4 + 12 + 3 = 19
Area = 1/2 |Sum1 - Sum2| = 1/2 | -23 - 19 | = 1/2 · 42 = 21.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.