92.6k views
4 votes
I NEED A ANSWER SOON PLEASE!!!

What is the area of a rectangle with vertices at ​(−4, 0)​, ​(−3, 1)​ , (0, −2), and (−1, −3)?

don't round any side lengths plz

1 Answer

2 votes

Answer:

6

Explanation:

If you plot all 4 points, you will see that they are given in clockwise order around the rectangle.

If you take (-3, 1) and find the distance to (-4, 0), and take again (-3, 1) and find the distance to (0, -2), you will have the lengths of two consecutive sides. These sides can then be used as length and width to find the area.

distance from (-3, 1) to (-4, 0):

d = √[(-3 - (-4))² + (1 - 0)²] = √[1² + 1²] = √2

distance from (-3, 1) to (0, -2):

d = √[(-3 - 0)² + (1 - (-2))²] = √[(-3)² + 3²] = 3√2

area = LW = √2 × 3√2 = 3 × 2 = 6

User Umberto
by
8.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories