First, we need to find the coordinates of the points
U(-4, 4) V( -4, -5) W(5, -5) X(5, 4)
Next, we will find the distance, UV and VW
Using the distance formula
[tex]|d|=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]U(-4, 4) V( -4, -5)
x₁= -4 y₁=4
x₂=-4 y₂=-5
substitute the values into the formula
[tex]|UV|=\sqrt[]{(-4+4)^2+(-5-4)^2}[/tex][tex]=9[/tex]V( -4, -5) W(5, -5)
x₁= -4 y₁=-5
x₂=5 y₂=-5
substitute the values into the formula
[tex]|VW|=\sqrt[]{(5+4)^2+(-5+5)^2}[/tex][tex]=9[/tex]Area = l x w = 9 x 9 = 81 units²
Perimeter = 9 + 9 + 9 + 9 = 36 units