Find the perimeter of the following shape

perimeter = 2√10 + 2√5 ≈ 10.797

Step-by-step explanation:

Perimeter = DA + AB + BC + CD

DA = CB

D(4 , 4)

A(7, 5)

DA = √(7-4)² + (5-4)²

DA = √(3)² + (1)²

DA = √9+1 = √10

AB = CD

D(4, 4)

C(3, 2)

CD = √(4-3)² + (4-2)²

CD = √(1)² + (2)²

CD = √1 + 4 = √5

Perimeter = √10 +√5+√10+√5

                = 2√10 + 2√5 ≈ 10.797

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.'

source

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step-by-step explanation: