PERIMETRO

PERIMETRO

Enrocamiento 1

AB =√(〖(0-3)〗^2+〖(0-0)〗^2 ) = √(〖(-3)〗^2+〖(0)〗^2 ) = √9 = 3

BC = √(〖(3-5)〗^2+( 0-4)^2 ) = √(〖(-2)〗^2+〖(-4)〗^2 ) = √(4+16) = 20=4.47

CA = √(〖(5-0)〗^2+〖(4-0)〗^2 ) = √(〖(5)〗^2+〖(4)〗^2 ) = √(25+16) = 41=6.40

PERIMETRO = 13.87 m

Corazón

AB = √(〖(4-3) 〗^2+〖(0-0)〗^2 ) = √(〖(1)〗^2+〖(0)〗^2 ) = √1 = 1

BC = √(〖(5-4)〗^2+〖((-1)-0)〗^2 ) = √((1+〖(-1)〗^2 ) = √2 = 1.41

CD = √(〖(7-5)〗^2+〖((-1)-(-1))〗^2 ) =√(〖(2)〗^2+〖(0)〗^2 ) =√4 = 2

DE = √(〖(8-7)〗^2+〖(0-(-1)〗^2 ) =√(〖(1)〗^2+〖(1)〗^2 ) = √2 = 1.41

EF = √(〖(9-8)〗^2+〖(0-0)〗^2 ) =√((1)^2+〖(0)〗^2 ) =√1 = 1

FG = √(〖(7-9)〗^2+〖(4-0)〗^2 ) = √(〖(-2)〗^2+〖(4)〗^2 ) = √20 = 4.47

GH = √(〖(5-7)〗^2+〖(4-4)〗^2 ) = √(〖(-2)〗^2+〖(0)〗^2 ) =√2 = 2

HA =√(〖(0-5)〗^2+〖(0-4)〗^2 ) = √(〖(-5)〗^2+〖(-4)〗^2 ) = √41= 6.40

PERIMETRO = 16.69 m

Filtro

AB = √(〖(10-9)〗^2+〖(0-0)〗^2 ) =√(〖(1)〗^2+〖(0)〗^2 ) = √1 = 1

BC = √(〖(8-10)〗^2+〖(4-0)〗^2 ) = √(〖(-2)〗^2+〖(4)〗^2 ) = √20 = 4.47

CD = √(〖(7-8)〗^2+〖(4-4)〗^2 ) =√(〖(1)〗^2+〖(0)〗^2 ) =√1 = 1

DA = √(〖(9-7)〗^2+〖(0-4)〗^2 ) =√(〖(2)〗^2+〖(-4)〗^2 ) = √20 = 4.47

PERIMETRO = 10.94 m

Enrocamiento 2

AB= √(〖(13-10)〗^2+〖(0-0)〗^2 ) = √(〖(3)〗^2+〖(0)〗^2 ) = √9 = 1.73

BC = √(〖(8-13)〗^2+〖(4-0)〗^2 ) =√(〖(-5)〗^2+〖(4)〗^2 ) √41 = 6.40

CA = √(〖(10-8)〗^2+〖(0-4)〗^2 ) √(〖(2)〗^2+〖(-4)〗^2 ) = √20 = 4.47

PERIMETRO: 12.6 m

Área

Enrocamieno 1

0 0

3 0

5 4

0 0

A= 1/2

(0+12+0)-(0-0-0)= 12/2 = 6 m2

Corazón

3 0

4 0

5 -1

7 -1

8 0

9 0

7 4

5 4

3 0

A= 1/2

(0+(-4)+(-5)+0+0+36+28+0)-(12-20-0-0-(-8)-(-7)-0-0)= 73 – 7 =66/2= 33 m2

Filtro

9 0

10 0

8 4

7 4

9 0

A= 1/2

(0+40+32+0) – (36-28-0-0) =72 – 8 = 64 m2

Enrocamiento 2

10 0

13 0

8 4

10 0

A= 1/2

(0+52+0) – (40-0-0) = 52 – 40 = 12 m2

SECCION PERIMETRO AREA VOLUMEN

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