Question

Pls help i’m failing besties ‍

Answer 1

see in the pic, we have: E(-5; -3), F(-3; -6), A(-5; -8), B(1,-8), C(3; -5), D(1;0)

=> AB = 6

`bc = \sqrt{(3 - 1) {}^(2) + ( - 5 + 8) {}^(2) } = √(13) \\ \\ \\ cd = \sqrt{(1 - 3) {}^(2) + ( - 5) {}^(2) } = √(29) \\ \\ \\`

`de = \sqrt{( - 5 - 1) {}^(2) + ( - 3) {}^(2) } = 3 √(5)`

`ef = \sqrt{( - 3 + 5) {}^(2) + ( - 6 + 3) {}^(2) } = √(13)`

`fa = \sqrt{( - 5 + 3) {}^(2) + ( - 8 + 6) {}^(2) } = 2 √(2)`

the perimeter of the shape = AB + BC + CD + DE + EF + FA

`= 6 + √(13) + √(29) +3 √(5) + √(13) + 2 √(2)`

`= 28.13`