Math questions, will reward xoxo you !

AB = 10 → C and BC = 10 → A

to calculate the lengths use the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 3, -  4) and (x₂, y₂ ) = (5, 2 )

AB = √(5 + 3 )² + (2 + 4 )² = √(64 + 36 ) = √100 = 10 → C

with (x₁, y₁ ) = (5, 2 ) and (x₂, y₂ ) = (11, - 6 )

BC = √(11 - 5 )² + (- 6 - 2 )² = √(36 + 64 ) = √100 = 10 → A

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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