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
