Trapezoid MO-5-Z8

Trapezoid KLMN has bases 12 and 4 cm long. The area of triangle KMN is 9 cm2. What is the area of the trapezoid KLMN?

Correct answer:

S =  36 cm2

Step-by-step explanation:

a=12 c=4 S1=9 S1=c h/2 h=2 S1/c=2 9/4=92=4.5 S=(a+c) h/2=(12+4) 4.5/2=36 cm2



Did you find an error or inaccuracy? Feel free to write us. Thank you!



avatar







Tips to related online calculators
See also our trigonometric triangle calculator.

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

Related math problems and questions:

  • KLMN trapezoid
    lich The KLMN trapezoid has bases KL 40cm and MN 16cm. On the KL base is point P. The segment NP divides the trapezoid into units with the same area. What is the distance of point P from point K?
  • ISO trapezoid v2
    lichobeznik bases of Isosceles trapezoid measured 20 cm and 4 cm and its perimeter is 55 cm. What is the are of a trapezoid?
  • The triangle
    rr_triangle2 The triangle has sides 5 cm long, 5 cm, 8 cm long. What is the area of the triangle?
  • Square prism
    lichob Calculate the volume of a four-sided prism 2 dm high, and the base is a trapezoid with bases 12 cm, 6 cm, the height of 4 cm, and 5 cm long arms.
  • Isosceles trapezoid
    rr_lichobeznik Find the area of an isosceles trapezoid, if the bases are 12 cm and 20 cm, the length of the arm is 16 cm
  • Isosceles trapezoid
    lichobeznik Calculate the content of an isosceles trapezoid whose bases are at ratio 5:3, the arm is 6cm long and it is 4cm high.
  • Diagonal
    trapezium_right The rectangular ABCD trapeze, whose AD arm is perpendicular to the AB and CD bases, has an area of 15 cm square. Bases have lengths AB = 6cm, CD = 4cm. Calculate the length of the AC diagonal.
  • Trapezoid ABCD v2
    trapezium_table Trapezoid ABCD has a length of bases in ratio 3:10. The area of triangle ACD is 825 dm2. What is the area of trapezoid ABCD?
  • Trapezoid
    lichob_2 How long are the trapezoid bases with area 24 cm2 and height 3 cm. One base is 3 times longer than the shorter.
  • Trapezium
    trapezium The area of trapezium is 35 cm2. Find its altitude if the bases are 6cm and 8 cm.
  • Isosceles trapezoid
    rr_licho The lengths of the bases of the isosceles trapezoid are in the ratio 5:3, the arms have a length of 5 cm and height = 4.8 cm. Calculate the circumference and area of a trapezoid.
  • Isosceles trapezoid
    licho Calculate the area of an isosceles trapezoid whose bases are in the ratio of 4:3; leg b = 13 cm and height = 12 cm.
  • Isosceles trapezoid
    lichobeznik_mo_z8 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?
  • Quadrangular prism
    trapezium_prism The quadrangular prism has a volume of 648 cm3. Trapezoid which is its base has the dimensions bases: a = 10 cm, c = 5 and height v = 6 cm. What is the height of the prism?
  • Trapezoid - construction
    trapezium Construct a trapezoid KLMN, where: k = 9 cm, l = 4 cm, m = 5 cm and angle α = 45°
  • R Trapezium
    Trapezium_example Rectangular trapezium has bases 21 and 10 and area 92 cm2. What is its perimeter?
  • Trapezoid - intersection of diagonals
    intersect_trapezoid_diagonals In the ABCD trapezoid is AB = 8 cm long, trapezium height 6 cm, and distance of diagonals intersection from AB is 4 cm. Calculate the trapezoid area.