Answer:
156.25cm^2
Step-by-step explanation:
Perimeter of rectangle: 2(length + width)
P=2(x+y)......equation (1)
A= xy ...........equation (2)
From equation (1)
50=2(x+y)
Divide both by two
25=x+y
x=y-25
Then the area:
From equation (2)
A=(y-25)y
The zeros will be y-25=0 and y=0 therefore y=25 and y=0
Then their average is: (25+0)/2 = 12.5
The width is 12.5 and the length is 25-12.5 which is 12.5
X=Length=12.5
Y=width=12.5
The largest area is:
12.5×12.5
156.25cm^2
Answer:
1/2(x+y) - 1/3
Step-by-step explanation:
I think this may be the answer based on the info you've given
Y is 2 and x is 3.
3 X 3 = 9-2 =7
Answer:
The perpendicular line would be y = -2/3x - 9
The parallel line would be y = 3/2x + 21/2
Step-by-step explanation:
Since we have the slope of 3/2, we know the perpendicular slope will be -2/3. This is because perpendicular lines have opposite and reciprocal slopes. Now we can use that and the point in point-slope form to get the equation.
y - y1 = m(x - x1)
y + 3 = -2/3(x + 9)
y + 3 = -2/3x - 6
y = -2/3x - 9
For the parallel line we would use the same slope as the original (3/2) and also start with point-slope form.
y - y1 = m(x - x1)
y + 3 = 3/2(x + 9)
y + 3 = 3/2x + 27/2
y = 3/2x + 21/2
