10PTS
pls help me on this math problem and pls explain how you did it.

  y = 8

Step-by-step explanation:

Line1 with points (4, 1) and (0, 0):

  slope = (y₂ - y₁) / (x₂ - x₁)

            = (0 - 1) / (0 - 4)

            = 1/4

Perpendicular line is opposite inverse so original slope 1/4 becomes -4/1 or simply -4.

Line2 with points (1, 0) and (-1, y):

  slope = (y₂ - y₁) / (x₂ - x₁)

            = (y - 0) / (-1 - 1)

            = y / -2

y must equal to 8 for the slope to be -4 as stated above.

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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