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?

Correct result:

x =  6.12 Eur

Solution:

$$\begin{gathered} a=120\text{ cm}\to \text{ m}=120\mathrm{/}100\text{ m}=1.2\text{ m } \\ c=60\text{ cm}\to \text{ m}=60\mathrm{/}100\text{ m}=0.6\text{ m } \\ r=50\text{ cm}\to \text{ m}=50\mathrm{/}100\text{ m}=0.5\text{ m } \\ h=\sqrt{r^2-((c-a)\mathrm{/}2{)}^2}=\sqrt{0.5^2-((0.6-1.2)\mathrm{/}2{)}^2}={\displaystyle \frac{2}{5}}=0.4\text{ m } \\ S=(a+c)\cdot h\mathrm{/}2=(1.2+0.6)\cdot 0.4\mathrm{/}2={\displaystyle \frac{9}{25}}=0.36{\text{m}}^2 \\ x=17\cdot S=17\cdot 0.36={\displaystyle \frac{153}{25}}={\displaystyle \frac{153}{25}}\text{ Eur}=6.12\text{ Eur} \end{gathered}$$

Try another example

Showing 0 comments:

Next similar math problems:

• Square
  Calculate the area of the square shape of the isosceles triangle with the arms 50m and the base 60m. How many tiles are used to pave the square if the area of one tile is 25 dm²?
• Land - isosceles trapezoid
  Calculate the content and perimeter of the building plot in the form of an isosceles trapezoid with bases 120m, 95m and height 50m.
• Isosceles triangle 9
  Given an isosceles triangle ABC where AB= AC. The perimeter is 64cm, and the altitude is 24cm. Find the area of the isosceles triangle.
• ISO trapezoid v2
  bases of Isosceles trapezoid measured 20 cm and 4 cm and its perimeter is 55 cm. What is the are of a trapezoid?
• 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 base of the prism is a rhombus with a side length of 30 cm and a height of 27 cm. The heig
• Isosceles trapezoid
  Find the area of an isosceles trapezoid, if the bases are 12 cm and 20 cm, the length of the arm is 16 cm
• IS trapezoid
  Calculate the length of diagonal u and height v of isosceles trapezoid ABCD, whose bases have lengths a = |AB| = 37 cm, c = |CD| = 29 cm and legs b = d = |BC| = |AD| = 28 cm.
• Bricklayer
  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?
• 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 trapezoid
  The ABCD rectangular trapezoid with the AB and CD bases is divided by the diagonal AC into two equilateral rectangular triangles. The length of the diagonal AC is 62cm. Calculate trapezium area in cm square and calculate how many differs perimeters of the
• 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 Scout Tent
  The Scout Tent has a rectangular wooden underlay with dimensions of 220 cm and 150 cm. How much canvas is needed for a 170 cm high of pyramid roof?
• Diamond diagonals
  Calculate the diamonds' diagonals lengths if the diamond area is 156 cm square, and the side length is 13 cm.
• Isosceles III
  The base of the isosceles triangle is 17 cm area 416 cm². Calculate the perimeter of this triangle.
• Tablecloths
  The restaurant has sixty-two square tablecloths with a side length of 150 cm and 36 rectangular tablecloths with dimensions of 140 cm and 160 cm. A) How many meters of hemming ribbon will be needed if we add 50 cm to each tablecloth? B) The ribbon sale in
• Isosceles trapezoid
  What is the height of an isosceles trapezoid, the base of which has a length of 11 cm and 8 cm and whose legs measure 2.5 cm?
• Right trapezoid
  The right trapezoid has bases 3.2 cm and 62 mm long. The shorter leg has a length 0.25 dm. Calculate the lengths of the diagonals and the second leg.