Question

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

Answer 1

I took the test and the answer is 6 units²

As a bonus:

this is what the rectangle would look like:

shown work:

width = sqrt [(-4 - -3)^2 + (0 – 1)^2] = sqrt (2)

length = sqrt [(-3 - 0)^2 + (1 – -2)^2] = sqrt (18)

Area = length * width

Area = sqrt (2) * sqrt (18)

Area = 6

Hope this was helpful!