Question

FAST PLEASE 50 POINTS :D

Answer 1

Answer:

20 units ^2

Step-by-step explanation:

The vertices are ( -8,-2) (-3,-2) (-3,-6) (-8,-6)

The sides are parallel

The lengths are *2- to -6  = 4 units

and  -8 to -3 = 5 units

4*5 = 20 units ^2

Answer 2

Answer:

Area = 20 units²

Step-by-step explanation:

Let A(-8,-2), B(-3,-2), C(-3,-6) and D(-8,-6) so that the rectangle becomes ABCD.

=> Since it's a rectangle it will have two opposite sides equal.

So, let's find the length of any two sides (as length and width) by Distance Formula.

Distance Formula = $\sqrt{(x2-x1)^2+(y2-y1)^2}$

Side AB:

|AB| = $\sqrt{(-3+8)^2+(-2+2)^2}$

|AB| = $\sqrt{5^2}$

|AB| = 5

Side BC:

|BC| = $\sqrt{(-3+3)^2+(-6+2)^2}$

|BC| = $\sqrt{16}$

|BC| = 4

Now, Area:

Area of the rectangle = Length * Width

Area = 4 * 5

Area = 20 units²