SOLUTION: Two hundred meters of rope is used to mark off a rectangle (the dimensions are x meters by y meters. a. Write the equation showing perimeter of 200 using x and y. b. Write the

Question 90280: Two hundred meters of rope is used to mark off a rectangle (the dimensions are x meters by y meters.
a. Write the equation showing perimeter of 200 using x and y.
b. Write the formula for area using x and y.
c. Write the function for area using only x, which could be used to find the maximum possible area.
Answer by checkley75(3666) (Show Source): You can put this solution on YOUR website!
2x+2y=200
xy=area
x=(-2y+200)/2 or x=-y+100 then the area in terms of x is:
(-y+100)y=area or -y^2+100y=area.
the maximum area is obtained by a square where x=y. thus
2x+2x=200
4x=200
x=200/4
x=50 meters for each side.
50*50=2500 meters^2 for the maximum area.
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