Question

A fence is purchased and constructed as shown. There are 250 feet of fence used for the chorale. Determine the values for x and y that will maximize the area. Round your answers to the nearest tenth if needed. Type the value for the x dimension in the first blank (you do not need to type x = , but label your answer). Type the value for y in the second blank (you do not need to type y =, but label your answer).

Answer 1

2x + 3y = 250

y = (250 - 2x)/3 (1)

S = x * y

= (-2/3x + 250/3)*x

= -2/3(x - 125/2)^2 + 125^2/6

x = 125/2

Replacing the value of x in (1)

y = 125/3