Question

What is the area of the rectangle?

Answer 1

Find the distances

from (-1,1) to (8,-2) is legnth
from (-3,-5) to (-1,1) is width

for points (x1,y1) and (x2,y2)
the distance between them is
D=$\sqrt{(x1-x2)^2+(y1-y2)^2}$

LEGNTH
(-1,1) to (8,-2)
D=$\sqrt{(-1-8)^2+(1-(-2))^2}$ =$3\sqrt{10}$

WIDTH
(-3,-5) to (-1,1)
D=$\sqrt{(-3-(-1))^2+(-5-1)^2}$=$2\sqrt{10}$

area=legnth times width=(3√10)(2√10)=6(10)=60

area=60 units²

Answer 2

The answer is 60 units in case any k12 students don't want to have to read the long answer