Answer:
- 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - x - 
← is in slope- intercept form
with slope m = - 1
Parallel lines have equal slopes
Thus the slope of line d is - 1
Well we know that the perimeters are equal so:
Psquare = Prectangle
we know perimeter for square is the 4 sides of same lengths added up or 4*s
the perimeter of a rectangle is the then4 sides with 2 being equal added up so 2*L + 2*W
we know that a square side equAls s and it says that s=8x. So:
Psqu = 4 * (8x) (substitute 8x for s)
we know that the rectangle L =10x + 8 and W =10. So
Prect = 2 *(10x + 8) + 2 * (10)
we know :
Prect = Psqu so:
4 * (8x) =2 *(10x + 8) + 2 * (10)
32x = 20x + 16 + 20
12x = 36
x = 3
So if x equals 3 we can sub x in for square perimeter
Psqu = 4 *(8 * 3)
P = 4 * 24
P = 96
we can check this with rectangle perimeter
P = 2 *(10 * 3 + 8) + 2 *10
P = 2 * 38 + 20
P = 96
