Sunflower Field

The trapezoidal sunflower field is located between two parallel paths which are spaced 230 meters apart. The lengths of the parallel sides of the field are 255 m and 274 m. How many tons of sunflower will come from this field if the hectare yield is 2.25 tons?

Result

m =  13.7 t

Solution:

h=230 m a=255 m c=274 m  S=h⋅ (a+c)/2=230⋅ (255+274)/2=60835 m2 S2=S→ha=S/10000 ha=6.0835 ha  m=S2⋅ 2.25=6.0835⋅ 2.25≐13.6879=13.7  t h = 230 \ m \ \\ a = 255 \ m \ \\ c = 274 \ m \ \\ \ \\ S = h \cdot \ (a+c)/2 = 230 \cdot \ (255+274)/2 = 60835 \ m^2 \ \\ S_{ 2 } = S \rightarrow ha = S / 10000 \ ha = 6.0835 \ ha \ \\ \ \\ m = S_{ 2 } \cdot \ 2.25 = 6.0835 \cdot \ 2.25 \doteq 13.6879 = 13.7 \ \text { t }

Try another example






Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Showing 0 comments:
1st comment
Be the first to comment!
avatar




Following knowledge from mathematics are needed to solve this word math problem:

Looking for help with calculating arithmetic mean? Looking for a statistical calculator? Do you want to convert length units? Do you want to convert mass units?

Next similar math problems:

  1. Area of ditch
    prikop How great content area will have a section of trapezoidal ditch with a width of 1.6 meters above and below 0.57 meters? The depth of the ditch is 2.08 meters.
  2. Two municipalities
    promile_4 The horizontal distance between municipalities is 39 km. Average sinking is 7 per mille. What is the difference in height between these municipalities?
  3. Trapezium
    trapezium_1 Determine the height of the trapezium ABCD, which has area 77.5 cm2 and base lengths 16 cm and 15 cm.
  4. Trapezium 2
    trapezium_3 Trapezium has an area of 24 square cms. How many different trapeziums can be formed ?
  5. A trapezoid
    trapezium_4 A trapezoid 75 ft wide on top 85 ft on the bottom, the height is 120 ft. What is its area in the square yds?
  6. Isosceles trapezoid v3
    rovnobezky_uhly In an isosceles trapezoid ABCD is the size of the angle β = 81° Determine size of angles α, γ and δ.
  7. Average
    avg The arithmetic mean of the two numbers is 71.7. One number is 5. Calculate the second number.
  8. Feet to miles
    runners_6 A student runs 2640 feet. If the student runs an additional 7920 feet, how many total miles does the student run?
  9. Scale 3
    cuboid_4 Miriam room is 3.2 meters wide. It is draw by line segment length 6.4 cm on floor plan. In what scale it is plan of the room?
  10. Car crash
    alkohol-tester-alkohol-za-volantom_2 After a traffic accident, police measured 1.16 permille of alcohol in the driver's blood. What amount of alcohol did the driver have in the blood when about 5 kg of blood circulates in the human body?
  11. Plan scale
    geodet At what scale is drawn plan of the building, where one side of the building is 45 meters long is on the plan expressed by a straight line 12 mm long.
  12. Bronze medal
    lenin_1 To produce 1 kg of bronze must be 0.95 kg copper, 0.04 kg of tin, 0.01 kg zinc. The bronze medal has a weight of 8.5 g. How much copper, tin and zinc does medal have?
  13. Pound2kilos
    vaha_19 How many pounds make 1 kilograms?
  14. Weightlifter
    culturist Weightlifter lifted 75% of its weight. Determine how much weight lifted when he weighs 132 kg.
  15. Degrees to radians
    angle Convert magnitude of the angle α = 9°39'15" to radians:
  16. Trees
    tree2 A young tree is 16 inches tall. One year later, it is 20 inches tall. What is the percent increase in height?
  17. Temperature conversion
    teplomer_12 The normal human body temperature is 98.6 degrees Fahrenheit. What is the temperature in degrees Celcius?