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Solución

Área =

Rectángulo 1

Rectángulo 2

Rectángulo 3

Triángulo

Trapecio

Círculo

Selecciona 
  la figura

j = 6 (slider from 2 to 6, step 1)
A = (-3, 0)
F1 = Random(2, 4)
F2 = Random(1, 2)
B: (0, 2)
G9: B
D3_1 = NaN
D2_1 = NaN
C17(x) = x
D2 = Random(1, 3)
D1 = Random(1, 3)
C5 = Random(3, 5)
C4 = Random(6, 8)
C6: C4 - C5
B4 = Random(6, 8)
a = Random(6, 8)
B9: A
B10: A + (B4, 0)
B5 = Random(3, 5)
B11: A + (B4, B5)
B12: A + (0, B5)
B14 = Polygon({B9, B10, B11, B12, B9})
pp = Polygon({B9, B10, B11, B12, B9})
B16(x) = x
B6: B4 - B5
B17(x) = B16(x) - B6
B18(x) = (B16(x) * B17(x))
B19 = Expand(B18)
C9: A
C10: A + (C4, 0)
C11: A + (C4, C5)
C12: A + (0, C5)
C14 = Polygon({C9, C10, C11, C12, C9})
C16(x) = C17(x) + C6
C18(x) = (C16(x) * C17(x))
C19 = Expand(C18)
D3 = Random(5, 7)
D4: D3 + D1
D5: D3 - D2
D6: D4 - D5
D9: A
D10: A + (D4, 0)
D11: A + (D4, D5)
D12: A + (0, D5)
D16(x) = x + D1
D14 = Polygon({D9, D10, D11, D12, D9})
D17(x) = x - D2
D18(x) = (D16(x) * D17(x))
D19 = Expand(D18)
F9: A
F4 = Random(6, 8)
F10: A + (F4, 0)
F5: F4 - F1
F11: A + (F4 - F2 / 2, F5)
F12: A + (F2 / 2, F5)
F6: F4 - F5
F15(x) = x - F2
F17(x) = x - F1
F16(x) = x
F18(x) = ((1 / 2 * (F15(x) + F16(x))) * F17(x))
F19 = Expand(F18)
E1 = Random(1, 2)
E3 = Random(5, 7)
E4: E3 + E1
E2 = Random(1, 3)
E5: E3 - E2
E6: E4 - E5
E9: A
E10: A + (E4, 0)
E11: (E9 + E10) / 2 + (0, E5)
E12: (E9 + E10) / 2 + (0, E5)
E14 = Polygon({E9, E10, E11, E12, E9})
E16(x) = x + E1
E17(x) = x - E2
E18(x) = (1 / 2 * (E16(x) * E17(x)))
E19 = Expand(E18)
G4: Random[22, 30] / 10
G1 = Random(1, 2)
G3 = Random(0, 1)
G5 = If(G3 ≟ 0, G4 + G1, G4 - G1)
F14 = Polygon({F9, F10, F11, F12, F9})
G2 = Random(1, 2)
G15 = If(G3 ≟ 0, x + G1, x - G1)
G16(x) = (π * G15(x)^(2))
G18(x) = (π * G15(x)^(2))
G19 = Expand(G18)
lista1: {"Rectángulo1", "Rectángulo2", "Rectángulo3", "Triángulo", "Trapecio", "Círculo"}
K1: lista1
G14 = Circle(G9, G4)
i: j
F3 = Random(1, 3)
B1 = NaN
C1 = NaN
B2 = NaN
C2 = NaN
B3 = NaN
C3 = NaN
A4 = If(i ≟ 6, B4, If[i ≟ 5, C4, If[i ≟ 4, D4, If[i ≟ 3, E4, If[i ≟ 2, F4, G4]]]])
G6 = NaN
B7 = NaN
C7 = NaN
D7 = NaN
E7 = NaN
F7 = NaN
G7 = NaN
B8 = NaN
C8 = NaN
D8 = NaN
E8 = NaN
F8 = NaN
G8 = NaN
A9 = If(i ≟ 6, B9, If[i ≟ 5, C9, If[i ≟ 4, D9, If[i ≟ 3, E9, If[i ≟ 2, F9, G9]]]])
G10 = 1 (slider from -5 to 5, step 1)
A10 = If(i ≟ 6, B10, If[i ≟ 5, C10, If[i ≟ 4, D10, If[i ≟ 3, E10, If[i ≟ 2, F10, G10]]]])
G11 = 1 (slider from -5 to 5, step 1)
A11 = If(i ≟ 6, B11, If[i ≟ 5, C11, If[i ≟ 4, D11, If[i ≟ 3, E11, If[i ≟ 2, F11, G11]]]])
G12 = 1 (slider from -5 to 5, step 1)
A12 = If(i ≟ 6, B12, If[i ≟ 5, C12, If[i ≟ 4, D12, If[i ≟ 3, E12, If[i ≟ 2, F12, G12]]]])
G13 = 1 (slider from -5 to 5, step 1)
A14 = If(i ≟ 6, B14, If[i ≟ 5, C14, If[i ≟ 4, D14, If[i ≟ 3, E14, If[i ≟ 2, F14]]]])
B15 = NaN
C15 = NaN
D15 = NaN
E15 = NaN
A15 = If(i ≟ 6, B15, If[i ≟ 5, C15, If[i ≟ 4, D15, If[i ≟ 3, E15, If[i ≟ 2, F15, G15]]]])
A16 = If(i ≟ 6, B16, If[i ≟ 5, C16, If[i ≟ 4, D16, If[i ≟ 3, E16, If[i ≟ 2, F16, G16]]]])
G17(x) = NaN
A17 = If(i ≟ 6, B17, If[i ≟ 5, C17, If[i ≟ 4, D17, If[i ≟ 3, E17, If[i ≟ 2, F17, G17]]]])
A18 = If(i ≟ 6, B18, If[i ≟ 5, C18, If[i ≟ 4, D18, If[i ≟ 3, E18, If[i ≟ 2, F18, G18]]]])
A19 = If(i ≟ 6, B19, If[i ≟ 5, C19, If[i ≟ 4, D19, If[i ≟ 3, E19, If[i ≟ 2, F19, G19]]]])
A21: (A9 + A10) / 2 - (1, 1)
texto1: "" + A16 + ""
texto2: "" + A17 + ""
A22: ((-4, 0) + (-4, y(A12))) / 2
u1 = Vector(A22 - (0, 0.5), (-4, 0))
u2 = Vector(A22 + (0, 0.5), (-4, y(A11)))
v1 = Vector(A21 - (0.5, 0), (-3, -1))
v2 = Vector(A21 + (1.5, 0), (x(A10), -1))
A23: (A11 + A12) / 2 + (-0.5, 0.5)
A24 = Segment(A9, A9 - (0, A4))
n = 0 (slider from 0 to 1, step 1)
texto3: "" + A15 + ""
texto4: "= " + (LaTeX[A18]) + " =" + (LaTeX[A19]) + ""
A1 = If(i ≟ 6, B1, If[i ≟ 5, C1, If[i ≟ 4, D1, If[i ≟ 3, E1, If[i ≟ 2, F1, G1]]]])
A2 = If(i ≟ 6, B2, If[i ≟ 5, C2, If[i ≟ 4, D2, If[i ≟ 3, E2, If[i ≟ 2, F2, G2]]]])
A3 = If(i ≟ 6, B3, If[i ≟ 5, C3, If[i ≟ 4, D3, If[i ≟ 3, E3, If[i ≟ 2, F3, G3]]]])
A5 = If(i ≟ 6, B5, If[i ≟ 5, C5, If[i ≟ 4, D5, If[i ≟ 3, E5, If[i ≟ 2, F5, G5]]]])
A6 = If(i ≟ 6, B6, If[i ≟ 5, C6, If[i ≟ 4, D6, If[i ≟ 3, E6, If[i ≟ 2, F6, G6]]]])
A7 = If(i ≟ 6, B7, If[i ≟ 5, C7, If[i ≟ 4, D7, If[i ≟ 3, E7, If[i ≟ 2, F7, G7]]]])
A8 = If(i ≟ 6, B8, If[i ≟ 5, C8, If[i ≟ 4, D8, If[i ≟ 3, E8, If[i ≟ 2, F8, G8]]]])
A13 = If(i ≟ 6, B13, If[i ≟ 5, C13, If[i ≟ 4, D13, If[i ≟ 3, E13, If[i ≟ 2, F13, G13]]]])