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 €?

Result

o =  135 Eur

Solution:

$a=27 \ \text{m} \ \\ c=36 \ \text{m} \ \\ h=12 \ \text{m} \ \\ \ \\ b=\sqrt{ h^2 + (a-c)^2 }=\sqrt{ 12^2 + (27-36)^2 }=15 \ \text{m} \ \\ \ \\ o_{ 1 }=a+b+c+h=27+15+36+12=90 \ \text{m} \ \\ \ \\ p=1.5 \ \text{Eur/m} \ \\ o=p \cdot \ o_{ 1 }=1.5 \cdot \ 90=135 \ \text{Eur}$

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:

Be the first to comment!

Next similar math problems:

1. ISO trapezoid v2
   bases of Isosceles trapezoid measured 12 cm and 5 cm and its perimeter is 21 cm. What is the are of a trapezoid?
2. Estate
   Estate shaped rectangular trapezoid has bases long 34 m , 63 m and perpendicular arm 37 m. Calculate how long is its fence.
3. Median in right triangle
   In the rectangular triangle ABC has known the length of the legs a = 15cm and b = 36cm. Calculate the length of the median to side c (to hypotenuse).
4. Rectangular triangle PQR
   In the rectangular triangle PQR, the PQ leg is divided by the X point into two segments of which longer is 25cm long. The second leg PR has a length 16 cm. The length of the RX is 20 cm. Calculate the length p of side RQ. The result is round to 2 decimal
5. The ditch
   Ditch with cross section of an isosceles trapezoid with bases 2m 6m are deep 1.5m. How long is the slope of the ditch?
6. 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?
7. Trapezoid ABCD
   Calculate the perimeter of trapezoid ABCD if we know the side c=15, b=19 which is also a height and side d=20.
8. Tangent 3
   In a circle with centre O radius is 4√5 cm. EC is the tangent to the circle at point D. Segment AB IS THE DIAMETER of given circle. POINT A is joined with POINT E and POINT B is joined with POINT C. Find DC if BC IS 8cm.
9. Double ladder
   The double ladder is 8.5m long. It is built so that its lower ends are 3.5 meters apart. How high does the upper end of the ladder reach?
10. Broken tree
    The tree was 35 meters high. The tree broke at a height of 10 m above the ground. Top but does not fall off it refuted on the ground. How far from the base of the tree lay its peak?
11. Thales
    Calculate the length of the Thales' circle described to right triangle with hypotenuse 18.4 cm.
12. Holidays - on pool
    Children's tickets to the swimming pool stands x € for an adult is € 2 more expensive. There was m children in the swimming pool and adults three times less. How many euros make treasurer for pool entry?
13. Diamond and diagonals
    A diamond has diagonals f = 8 cm and g = 6 cm long. How long is this diamond perimeter? (Calculate it!)
14. Chord
    It is given to a circle k(r=6 cm) and the points A, B such that / AB / = 8 cm lies on k. Calculate the distance of the center of circle S to the midpoint C of the segment AB.
15. A truck
    A truck departs from a distribution center. From there, it goes 20km west, 30km north and 10km west and reaches a shop. How can the truck reach back to the distribution center from the shop (what is the shortest path)?
16. Cone 15
    The radius of the base of a right circular cone is 14 inches and it's height 18 inches. What is the slant height?
17. Chord circle
    The circle to the (S, r = 8 cm) are different points A, B connected segment /AB/ = 12 cm. AB mark the middle of S'. Calculate |SS'|. Make the sketch.