The three sides of a triangle are n, 4n+2, and 2n+14. If the perimeter of the triangle is 86 feet, what is the length of each side?

n = 10

10, 42, 34

Step-by-step explanation:

permiter = length of each of the sides

86 = n + (4n +2) + (2n + 14)

solve for n

n = 10

put n back in the original equations

n = 10

4(10) + 2 = 42

2(10) +14 = 34

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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