Verified answer

Ola Lucas

A(-1,0)

B(0,7)

C(7,0)

D(0,-1)

AB² = (Ax - Bx)² + (Ay - By)²

AB² = (-1 -0)² + (0 -7)²

AB² = 1 + 49 = 50

AB = 5√2

BC² = (Bx - Cx)² + (By - Cy)²

BC² = (0 - 7)² + (7 - 0)²

BC² = 49 + 49

BC = 7√2

CD² = (Cx - Dx)² + (Cy - Dy)²

CD² = (7 - 0)² + (0 + 1)²

CD² = 49 + 1 = 50

CD = 5√2

DA² = (Dx - Ax)² + (Dy - Ay)²

DA² = (0 + 1)² + (-1 - 0)²

DA² = 1 + 1 = 2

DA = √2

P = 5√2 + 7√2 + 5√2 + √2 = 18√2

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