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0%
Festival-A will be in a rectangular field with an area of 
80000m^(2) The greatest number of people allowed to attend Festival A is 425
Festival 
B will be in a rectangular field 
700m by 
2000m.
The greatest number of people allowed to attend Festival B is 6750
The area per person allowed for Festival 
B is greater than the area per person allowed for Festival A.
How much greater?
Give your answer correct to the nearest whole number.
(4 marks)
8 
m^(2)

0% 0 \% \newlineFestival-A will be in a rectangular field with an area of 80000 m2 80000 \mathrm{~m}^{2} The greatest number of people allowed to attend Festival A is 425425\newlineFestival B B will be in a rectangular field 700 m 700 \mathrm{~m} by 2000 m 2000 \mathrm{~m} .\newlineThe greatest number of people allowed to attend Festival B is 67506750\newlineThe area per person allowed for Festival B B is greater than the area per person allowed for Festival A.\newlineHow much greater?\newlineGive your answer correct to the nearest whole number.\newline(44 marks)\newline88 m2 \mathrm{m}^{2}

Full solution

Q. 0% 0 \% \newlineFestival-A will be in a rectangular field with an area of 80000 m2 80000 \mathrm{~m}^{2} The greatest number of people allowed to attend Festival A is 425425\newlineFestival B B will be in a rectangular field 700 m 700 \mathrm{~m} by 2000 m 2000 \mathrm{~m} .\newlineThe greatest number of people allowed to attend Festival B is 67506750\newlineThe area per person allowed for Festival B B is greater than the area per person allowed for Festival A.\newlineHow much greater?\newlineGive your answer correct to the nearest whole number.\newline(44 marks)\newline88 m2 \mathrm{m}^{2}
  1. Calculate Area per Person: Calculate the area per person for Festival A.\newlineArea of Festival A = 80000m280000 \, \text{m}^2, Number of people = 425425.\newlineArea per person for Festival A = 80000m2425people\frac{80000 \, \text{m}^2}{425 \, \text{people}}.
  2. Division for Festival A: Perform the division to find the area per person for Festival A. Area per person for Festival A = 188.235m2188.235 \, \text{m}^2 (rounded to three decimal places).
  3. Calculate Area of Festival B: Calculate the area of Festival B.Length=700mLength = 700m, Width=2000mWidth = 2000m.AreaArea of Festival B = Length×Width=700m×2000mLength \times Width = 700m \times 2000m.
  4. Multiplication for Festival B: Perform the multiplication to find the area of Festival B.\newlineArea of Festival B = 1400000m21400000 \, \text{m}^2.
  5. Calculate Area per Person for Festival B: Calculate the area per person for Festival B. Area of Festival B = 1400000m21400000 \, \text{m}^2, Number of people = 67506750. Area per person for Festival B = 1400000m26750people\frac{1400000 \, \text{m}^2}{6750 \, \text{people}}.
  6. Division for Festival B: Perform the division to find the area per person for Festival B. Area per person for Festival B = 207.407m2207.407\,\text{m}^2 (rounded to three decimal places).
  7. Calculate Difference in Area per Person: Calculate the difference in area per person between Festival B and Festival A.Difference=Area per person for Festival BArea per person for Festival A.\text{Difference} = \text{Area per person for Festival B} - \text{Area per person for Festival A}.Difference=207.407m2188.235m2.\text{Difference} = 207.407 \, \text{m}^2 - 188.235 \, \text{m}^2.
  8. Subtraction for Difference: Perform the subtraction to find the difference in area per person. \newlineDifference = 19.172m219.172\,\text{m}^2 (rounded to three decimal places).
  9. Round Difference: Round the difference to the nearest whole number as requested.\newlineDifference rounded = 19m219 \, \text{m}^2.

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