The tractor

The tractor sows an average of 1.5 ha per hour. In how many hours does it sows a rectangular trapezoid field with the bases of 635m and 554m and a longer arm 207m?

Correct answer:

t =  7.5499 h

Step-by-step explanation:

$$\begin{gathered} a=635\text{ n } \\ c=554\text{ m } \\ b=207\text{ m } \\ h=\sqrt{b^2-(a-c{)}^2}=\sqrt{207^2-(635-554{)}^2}=72\sqrt{7}\text{ m}\doteq 190.4941\text{ m } \\ S={\displaystyle \frac{a+c}{2}}\cdot h={\displaystyle \frac{635+554}{2}}\cdot 190.4941\doteq 113248.7391{\text{m}}^2 \\ {S}_1=S\to \text{ ha}=S\mathrm{/}10000\text{ ha}=113248.7391\mathrm{/}10000\text{ ha}=11.32487\text{ ha } \\ t=S_1\mathrm{/}1.5=11.3249\mathrm{/}1.5=7.5499\text{ h} \end{gathered}$$

Try another example

Related math problems and questions:

• Horses playground
  The fence for the horses has the shape of a rectangular trapezoid with an area of 400 m², the base lengths should be 31 m and 19 m. How many meters of boards will they need to fence it if the boards are stacked in 5 rows?
• Land - isosceles trapezoid
  Calculate the building plot's content and perimeter in the form of an isosceles trapezoid with bases 120m, 95m, and height 50m.
• The field
  The player crossed the field diagonally and walked the length of 250 m. Calculate the length of the field, circumference if one side of field 25 meters.
• Rectangular field
  A rectangular field has a diagonal of length 169m. If the length and width are in the ratio 12:5. Find the dimensions of the field, the perimeter of the field and the area of the field.
• Chocolate roll
  The cube of 5 cm chocolate roll weighs 30 g. How many calories will contain the same chocolate roller of a prism shape with a length of 0.5 m whose cross-section is an isosceles trapezoid with bases 25 and 13 cm and legs 10 cm? You know that 100 g of this
• The garden
  The garden has the shape of a rectangular trapezium. The bases have lengths of 27 meters and 36 meters, the trapezoid's height is 12 meters. Calculate how much fence will cost this garden if one meter costs 1.5 €?
• The pond
  We can see the pond at an angle 65°37'. Its end points are 155 m and 177 m away from the observer. What is the width of the pond?
• The ditch
  Ditch with a cross-section of an isosceles trapezoid with bases 2m and 6m are deep 1.5m. How long is the slope of the ditch?
• Four prisms
  Question No. 1: The prism has the dimensions a = 2.5 cm, b = 100 mm, c = 12 cm. What is its volume? a) 3000 cm² b) 300 cm² c) 3000 cm³ d) 300 cm³ Question No.2: The prism base is a rhombus with a side length of 30 cm and a height of 27 cm. The height of t
• The sides 2
  The sides of a trapezoid are in the ratio 2:5:8:5. The trapezoid’s area is 245. Find the height and the perimeter of the trapezoid.
• Isosceles trapezoid
  Calculate the content of an isosceles trapezoid whose bases are at ratio 5:3, the arm is 6cm long and it is 4cm high.
• Rectangular base pyramid
  Calculate an area of the shell of the pyramid with a rectangular base of 2.8 m and 1.4 m and height 2.5 meters.
• Trapezoid
  trapezoid ABCD a = 35 m, b=28 m c = 11 m and d = 14 m. How to calculate its area?
• Estate
  An estate-shaped rectangular trapezoid has bases long 34 m, 63 m, and perpendicular arm 37 m. Calculate how long its fence is.
• 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
• Digging a pit
  The pit has the shape of a regular quadrilateral truncated pyramid. The edges of the bases are 14m and 10m long. The sidewalls form an angle of 135° with a smaller base. Determine how many m³ of soil were excavated when digging the pit?
• Railway embankment
  The railway embankment section is an isosceles trapezoid, the sizes of the bases of which are in the ratio 5: 3. The arms have a length of 5 m, and the height of the embankment is 4.8 m. Calculates the size of the embankment section area.