An architect designs a rectangular flower garden such that the width is exactly two-thirds of the length. if 410 feet of antique picket fencing are to be used to enclose the garden, find the dimensions of the garden.

width = 82 feet, length = 123 feet
       
First, write down equations that express what you've been given.
   
w = 2/3 l
   
p = 410
   
p = 2(w+l)
       
Since we have an expression that defines w in terms of l, substitute for w, the expression. Also substitute the known value for p in the expression.
   
p = 2(w + l)
   
410 = 2( 2/3 l + l)
       
Combine the l terms
   
410 = 2( 5/3 l)
       
Multiply
   
410 = 10/3 l
       
Multiple both sides by 3
   
1230 = 10 l
       
Divide both sides by 10
   
123 = l
       
So we now know the length is 123 feet. So plug in the known value of l into the formula w = 2/3 l to get the width w = 2/3 123 = 82

Where the white dots are is where your points should be plotted.a translation is simply just moving something from one place to another. in this case, you would move each plot point of the original shape 2 units up, and 5 units to the left.