A trapezoid

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?

Correct result:

S =  1066.667 yd2

Solution:

c=75 ft a=85 ft h=120 ft  S1=a+c2 h=85+752 120=9600 ft2 S=S1yd2=S1/9 yd2=9600/9 yd2=1066.667 yd2=1066.667 yd2c=75 \ \text{ft} \ \\ a=85 \ \text{ft} \ \\ h=120 \ \text{ft} \ \\ \ \\ S_{1}=\dfrac{ a+c }{ 2 } \cdot \ h=\dfrac{ 85+75 }{ 2 } \cdot \ 120=9600 \ \text{ft}^2 \ \\ S=S_{1} \rightarrow yd^2=S_{1} / 9 \ yd^2=9600 / 9 \ yd^2=1066.667 \ yd^2=1066.667 \ \text{yd}^2



Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!





Please write to us with your comment on the math problem or ask something. Thank you for helping each other - students, teachers, parents, and problem authors.

Showing 0 comments:
avatar




Tips to related online calculators
Do you want to convert area units?

You need to know the following knowledge to solve this word math problem:


 
We encourage you to watch this tutorial video on this math problem: video1

Next similar math problems:

  • Trapezium bases
    lichobeznik_7 Find the trapezium height if a = 8 cm and c = 4 cm if its content 21 square centimeters.
  • Roof tiles
    Lichobeznik_strecha The roof has a trapezoidal shape with bases of 15 m and 10 m, height of roof is 4 meters. How many tiles will need if on 1 m2 should be used 8 tiles?
  • Trapezium 2
    trapezium_3 Trapezium has an area of 24 square cms. How many different trapeziums can be formed ?
  • 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.
  • Trapezium
    trapezium_1 The area of trapezium is 35cm2 find its altitude if the bases are 6cm and 8cm.
  • 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.
  • Garden
    map_6 The garden around the new majer is divided as follows: 35% vegetable, 30% fruit orchards, 10% flowers and the remaining 120 m2 are lawns. What is the total area of the garden?
  • Temperature conversion
    teplomer_12 The normal human body temperature is 98.6 degrees Fahrenheit. What is the temperature in degrees Celcius?
  • One hectare
    land_1 How many square meters are one hectare?
  • Pipe cross section
    pipe1 The pipe has an outside diameter 1100 mm and the pipe wall is 100 mm thick. Calculate the cross section of this pipe.
  • Rhombus
    pqrs PQRS is a rhombus. Given that PQ=3 cm & height of rhombus is given 2 cm. Calculate its area.
  • Round table tablecloth
    obrus Round table has area 50.24 dm2. Calculate the diameter of the circular tablecloth, if it is extend beyond the edge of the table by 30 cm.
  • Land
    geodetka Land has a rectangular shape, its surface area is 1.45 hectares. Its width is 250 m. Determine the length of the land.
  • Rape
    repka The agricultural cooperative harvested 525 ares of rape, of which received 5.6 tons of rape seeds. Calculate the yield per hectare of rape.
  • 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?
  • Degrees to radians
    angle Convert magnitude of the angle α = 9°39'15" to radians:
  • Down syndrome
    gene Down syndrome is one of the serious diseases caused by a gene mutation. Down syndrome occurs in approximately every 550-born child. Express the incidence of Down's syndrome in newborns at per mille.