A rectangular garden 800 square feet in area is to be fenced off against rodents. Find the dimensions that will require the least amount of fencing if one side of the garden is already protected by a barn.

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Question: A rectangular garden 800 square feet in area is to be fenced off against rodents. Find the dimensions that will require the least amount of fencing if one side of the garden is already protected by a barn.

x = 10 feet  and  y = 20 feet

The least amount of fencing required = 40 feet.

Step-by-step explanation: (In Picture)

answer: standard form is ax^2 + bx + c = 0

step-by-step explanation:

standard form is ax^2 + bx + c = 0

(2x + 1)(x - 2) = 0

distribute to get into standard form

2x^2 - 4x + x - 2 = 0

2x^2 - 3x - 2 = 0

a = 2, b= -3, c = -2

a is your answer

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2