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ivolga24 [154]
3 years ago
5

Find the perimeter of the shape below:

Mathematics
2 answers:
skad [1K]3 years ago
8 0
Add all sides


use distance formula to fnd distance: sqrt((x1-x2)^2+(y1-y2)^2)
if is wrong,i'm sorry,i think this is right


soldi70 [24.7K]3 years ago
8 0

Answer:

Perimeter = 13.27 unit

Step-by-step explanation:

We have to find the perimeter of the shape given in the figure.

Coordinates of J are ( -3, 4 ) and K are (-1, 6)

Then JK = \sqrt{(x-x')^{2}+(y-y')^{2}}

              = \sqrt{(-3+1)^2+(6-4)^2}

             = \sqrt{4+4}

             = 2\sqrt{2}

Coordinates of K are (-1,6) and for ∠ are (1, 1)

KL = \sqrt{(1+1)^2+(1-6)^2}

     = \sqrt{2^2+5^2}

     = \sqrt{29}

Coordinates of M are (-1, 3) and of ∠ are (1, 1)

∠M = \sqrt{(1+1)^2+(1-3)^2}

      = \sqrt{4+4}

      =  2\sqrt{2}

Coordinates of M are (-1, 3) and J are (-3, 4)

MJ = \sqrt{(-1+3)^2+(3-4)^2}

     =  \sqrt{4+1}

     =  \sqrt{5}

Then perimeter = JK + KL + LM + MJ

                          =  2\sqrt{2} + \sqrt{29} +  2\sqrt{2} +  \sqrt{5}

                         =  4\sqrt{2} +  \sqrt{29}  +  \sqrt{5}

                        = 5.66 + 5.38 + 2.24 = 13.27

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