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

6

Step-by-step 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

answer: x=60