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Calculate the BMI for Takalani, Tshepang, Johnes, Gert, Paul, and Ndumiso, given their weights and heights.

Mathematics

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The formula for Body Mass Index (BMI) is given as:

BMI=weight (kg)Height (m)2\text{BMI} = \frac{\text{weight (kg)}}{\text{Height (m)}^2}

We will use this formula to determine the values of A, B, C, D, E, F, and G.

  1. Calculate A (Takalani's BMI)

    Given: Mass = 65 kg, Height = 1.65 m

    A=65(1.65)2A = \frac{65}{(1.65)^2} A=652.7225A = \frac{65}{2.7225} A≈23.8751≈23.9A \approx 23.8751 \approx 23.9

    The value of A is 23.9\boxed{\text{23.9}}.

  2. Calculate B (Tshepang's BMI)

    Given: Mass = 68 kg, Height = 1.62 m

    B=68(1.62)2B = \frac{68}{(1.62)^2} B=682.6244B = \frac{68}{2.6244} B≈25.9145≈25.9B \approx 25.9145 \approx 25.9

    The value of B is 25.9\boxed{\text{25.9}}.

  3. Calculate C (Johnes' BMI)

    Given: Mass = 66 kg, Height = 1.56 m

    C=66(1.56)2C = \frac{66}{(1.56)^2} C=662.4336C = \frac{66}{2.4336} C≈27.1113≈27.1C \approx 27.1113 \approx 27.1

    The value of C is 27.1\boxed{\text{27.1}}.

  4. Calculate D (Gert's Mass)

    Given: BMI = 25.8, Height = 1.55 m

    25.8=D(1.55)225.8 = \frac{D}{(1.55)^2} D=25.8×(1.55)2D = 25.8 \times (1.55)^2 D=25.8×2.4025D = 25.8 \times 2.4025 D≈61.9845≈62.0D \approx 61.9845 \approx 62.0

    The value of D is 62.0 kg\boxed{\text{62.0 kg}}.

  5. Calculate E (Paul's Mass)

    Given: BMI = 26.7, Height = 1.63 m

    26.7=E(1.63)226.7 = \frac{E}{(1.63)^2} E=26.7×(1.63)2E = 26.7 \times (1.63)^2 E=26.7×2.6569E = 26.7 \times 2.6569 E≈70.90923≈70.9E \approx 70.90923 \approx 70.9

    The value of E is 70.9 kg\boxed{\text{70.9 kg}}.

  6. Calculate F (Ndumiso's Height)

    Given: BMI = 29.4, Mass = 81 kg

    29.4=81F229.4 = \frac{81}{F^2} F2=8129.4F^2 = \frac{81}{29.4} F2≈2.755102F^2 \approx 2.755102 F=2.755102F = \sqrt{2.755102} F≈1.6600≈1.66F \approx 1.6600 \approx 1.66

    The value of F is 1.66 m\boxed{\text{1.66 m}}.

  7. Calculate G (Vuyo's Height)

    Given: BMI = 25.2, Mass = 63 kg

    25.2=63G225.2 = \frac{63}{G^2} G2=6325.2G^2 = \frac{63}{25.2} G2=2.5G^2 = 2.5 G=2.5G = \sqrt{2.5} G≈1.5811≈1.58G \approx 1.5811 \approx 1.58

    The value of G is 1.58 m\boxed{\text{1.58 m}}.

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