Let the width be x.
Length is 8 feet more than width. Length = x + 8
Area = x(x + 8)
width increased by 4, that is,  (x + 4)
Length decreased by 5,    (x + 8 - 5) = (x + 3)
Area  = (x + 4)(x +3)
Area remains the same
x(x + 8) = (x+4)(x +3)
x² + 8x =   x(x +3) + 4(x +3)
 x² + 8x =   x² +3x + 4x +12
x² + 8x =   x² +7x +12        Eliminate x² from both sides
8x = 7x + 12
8x - 7x = 12
x = 12
Dimensions of original rectangle :  x,  x + 8
12, 12 +8 =   12, 20
Original rectangle is   20 feet   by 12 feet  
        
                    
             
        
        
        
Step-by-step explanation:
You need to translate all the points to the right 3 and up 6
Therefore, you are going to use this formula:
(x,y) ⇾ (x + 3, y + 6)
This is the same format as the previous problem, if you have noticed.
Using this, plug in each coordinate, starting with  P (5, -1)
(5, -1) ⇾ ( 5 + 3, -1 + 6)
(5, -1) ⇾ ( 8, 5 )
P
 = (8, 5)
Now point Q, (0, 8)
(0, 8) ⇾ (0 + 3, 8 + 6)
(0, 8) ⇾ ( 3, 14 )
Q
 = (3, 14)
And last but not least, the point R, (7, 5)
(7, 5) ⇾ (7 + 3, 5 + 6)
(7, 5) ⇾ ( 10, 11 )
R
 = (10, 11)
Therefore, P
 = (8, 5), Q
 = (3, 14), R
 = (10, 11) is your answer. This is the 4th option or D.
Hope this for you to understand this a bit more! =D
 
        
             
        
        
        
How do we help u??? we can’t graph for u
        
             
        
        
        
Yes both rates are equivalent