Isosceles trapezoid

The old father decided to change the top plate of an isosceles-like trapezoid with the basic dimensions of 120 cm and 60 cm, and the shoulder is 50 centimeters long. How much does it pay for a new plate and a square meter worth 17 euros?

Result

x =  6.12 Eur

Solution:

a=120 cm=120/100 m=1.2 m c=60 cm=60/100 m=0.6 m r=50 cm=50/100 m=0.5 m  h=r2((ca)/2)2=0.52((0.61.2)/2)2=25=0.4 m  S=(a+c) h/2=(1.2+0.6) 0.4/2=925=0.36 m2  x=17 S=17 0.36=15325=6.12=6.12  Eur a = 120 \ cm = 120 / 100 \ m = 1.2 \ m \ \\ c = 60 \ cm = 60 / 100 \ m = 0.6 \ m \ \\ r = 50 \ cm = 50 / 100 \ m = 0.5 \ m \ \\ \ \\ h = \sqrt{ r^2-((c-a)/2)^2 } = \sqrt{ 0.5^2-((0.6-1.2)/2)^2 } = \dfrac{ 2 }{ 5 } = 0.4 \ m \ \\ \ \\ S = (a+c) \cdot \ h / 2 = (1.2+0.6) \cdot \ 0.4 / 2 = \dfrac{ 9 }{ 25 } = 0.36 \ m^2 \ \\ \ \\ x = 17 \cdot \ S = 17 \cdot \ 0.36 = \dfrac{ 153 }{ 25 } = 6.12 = 6.12 \ \text { Eur }







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




Pythagorean theorem is the base for the right triangle calculator. Do you want to convert length units? See also our trigonometric triangle calculator.

Next similar math problems:

  1. Glass
    sklo At the glass shop we have to cut 8 sheets of glass. Each was shaped a square with sides of 18 cm. We paid 44 CZK. How much is a 1 m2 of glass?
  2. Office rent
    futbal-stadion For rent 1m2 of office space is paid €165 per year. How much is the annual rent for an office as big as a football field with dimensions 71.5 m and 102.5 m?
  3. Bathroom
    koupelna How many CZK we pay for lining the perimeter walls of the bathroom with rectangular shape with dimensions 3.5 m and 4 m, high 1.5 m if 1 square m tile cost 300 CZK?
  4. Pavilion
    altanok The rectangular pavilion with dimensions 3.5 m and 2.75 m to be paved with square tiles of side 25 cm price of CZK 22 per 1 piece or rectangular tiles with sides of 20 cm and 15 cm in the price of CZK 11 per 1 pc. Which solution is cheaper (write its price
  5. The room
    malovka_5 The room has a cuboid shape with dimensions: length 50m and width 60dm and height 300cm. Calculate how much this room will cost paint (floor is not painted) if the window and door area is 15% of the total area and 1m2 cost 15 euro.
  6. Pool tiles
    bazen_5 The pool is 25m long, 10m wide and 160cm deep. How many m2 of tiles will be needed on the walls and the pool? How many pieces of tile are needed when 1 tile has a square shape with a 20cm side? How much does it cost when 1m2 of tiles costs 258 Kc?
  7. Bricklayer
    tiles2_2 How much do we pay for a bricklayer laying a pavement in a square room with a diagonal of 8 m, if 1 sqm with work will cost for CZK 420?
  8. Flooring a room
    tiles_10 Find the cost of flooring a room 6.5 m by 5 m with square tiles of sides 25 cm at the rate of rupees 9.40 per tile.
  9. Coins
    eur_coins Harvey had saved up a number of 2-euro coins. He stored coins in a single layer in a square. Left 6 coins. When he make square, which has one more row, missing 35 coins. How many euros he have?
  10. Property
    pozemok The length of the rectangle-shaped property is 8 meters less than three times of the width. If we increase the width 5% of a length and lendth reduce by 14% of the width it will increase the property perimeter by 13 meters. How much will the property cost
  11. Carpet
    kusovy-koberec What is the price of square carpet side length 3.25 m if one meter square cost 230 CZK?
  12. Painting
    malovka The room is long 50 meters and wide 60dm and 300 cm high. Calculate how much it will cost painting if area of windows and doors is 15% of the total area. One square meter cost 50cents.
  13. Trevor
    tiles2_1 Trevor wishes to tile the floor of his bathroom. The bathroom is rectangular and is 4.2m long and 3.3m wide. The tiles are 30cm by 30cm. Calculate the cost to tile the floor if each tile costs 72 cents.
  14. Aunt Rose
    eura Aunt Rose gave $2500 to Mani and Cindy. Mani received $500 more than Cindy. How mich did Cindy received?
  15. Car down
    car_1 Sarah buys a car costing $12,500. It depreciates in value by 8% in the first year, 10% the second year and 5% in the third year. Calculate the value of a car after the third year.
  16. Calculate
    square Calculate the square area if its perimeter is 14dm.
  17. The cylinder 2
    cylinder Find the volume and the lateral area of a cylinder of height 12 inches and a base radius of 4 inches.